<html><head><meta http-equiv="Content-Type" content="text/html charset=utf-8"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; -webkit-line-break: after-white-space;" class="">Have you tried using a grandcanonical instead of fixing the quantum number?<div class=""><br class=""><div><blockquote type="cite" class=""><div class="">On 18 Jan 2017, at 09:15, Axel Gagge <<a href="mailto:axel.gagge@fysik.su.se" class="">axel.gagge@fysik.su.se</a>> wrote:</div><br class="Apple-interchange-newline"><div class=""><div style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class="">It wasn't very hard to define such a quantum number, but it seems like it actually makes the simulation run much slower. I suppose this is because another quantum number needs to be stored which leads to a larger basis size again? On the other hand, I can think of no way to properly define the spin operators without using the quantum numbers S, Sz... <br class=""></div><div style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><br class=""></div><div style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class="">Many thanks,<br class=""></div><div style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class="">Axel<br class=""></div><div style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><br class=""></div><div style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255); word-wrap: break-word;" class=""><hr tabindex="-1" style="display: inline-block; width: 1093.671875px;" class=""><div id="divRplyFwdMsg" dir="ltr" class=""><font face="Calibri, sans-serif" style="font-size: 11pt;" class=""><b class="">Från:</b><span class="Apple-converted-space"> </span>Comp-phys-alps-users <<a href="mailto:comp-phys-alps-users-bounces@lists.phys.ethz.ch" class="">comp-phys-alps-users-bounces@lists.phys.ethz.ch</a>> för Matthias Troyer <<a href="mailto:troyer@phys.ethz.ch" class="">troyer@phys.ethz.ch</a>><br class=""><b class="">Skickat:</b><span class="Apple-converted-space"> </span>den 17 januari 2017 19:42<br class=""><b class="">Till:</b><span class="Apple-converted-space"> </span><a href="mailto:comp-phys-alps-users@lists.phys.ethz.ch" class="">comp-phys-alps-users@lists.phys.ethz.ch</a><br class=""><b class="">Ämne:</b><span class="Apple-converted-space"> </span>Re: [ALPS-users] Conserve quantum number for composite unit cell</font><div class=""> </div></div><div class="">You need to define a new combined quantum number, which is changed by the training and lowering operators for both types of particles.<div class=""><br class=""></div><div class=""><br class=""><div class=""><blockquote type="cite" class=""><div class="">On 17 Jan 2017, at 08:54, Michele Dolfi <<a href="mailto:dolfim@phys.ethz.ch" class="">dolfim@phys.ethz.ch</a>> wrote:</div><br class="Apple-interchange-newline"><div class=""><div class="" style="word-wrap: break-word;">I hope somebody else could give you a better answer, but I don’t think this is possible out of the box, and I’m not 100% sure it is at all possible in the way you think about it.<div class=""><br class=""></div><div class="">What I would try is away to play around with a new model definition where you make a composite quantum number explicit.</div><div class="">The "fermion Hubbard” and “alternative fermion Hubbard” could be of inspiration for how to conserve N and/or Sz instead of Nup and/or Ndown.</div><div class=""><br class=""></div><div class=""><br class=""></div><div class="">Best,</div><div class="">Michele</div><div class=""><br class=""><div class=""><br class=""><div class=""><span class="Apple-style-span" style="border-collapse: separate; font-family: Helvetica; line-height: normal; border-spacing: 0px;"><div class="" style="word-wrap: break-word;"><span class="Apple-style-span" style="border-collapse: separate; font-family: Helvetica; font-style: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; border-spacing: 0px;"><div class="" style="word-wrap: break-word;"><span class="Apple-style-span" style="border-collapse: separate; font-family: Helvetica; font-style: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; border-spacing: 0px;"><div class="" style="word-wrap: break-word;"><span class="Apple-style-span" style="border-collapse: separate; font-family: Helvetica; font-style: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; border-spacing: 0px;"><div class="" style="word-wrap: break-word;"><span class="Apple-style-span" style="border-collapse: separate; font-family: Helvetica; font-style: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; border-spacing: 0px;"><div class="" style="word-wrap: break-word;"><span class="Apple-style-span" style="border-collapse: separate; font-family: Helvetica; font-style: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; border-spacing: 0px;"><div class="" style="word-wrap: break-word;"><span class="Apple-style-span" style="border-collapse: separate; font-family: Helvetica; font-style: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; border-spacing: 0px;"><div class="" style="word-wrap: break-word;"><span class="Apple-style-span" style="border-collapse: separate; font-family: Helvetica; font-style: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; border-spacing: 0px;"><div class="" style="word-wrap: break-word;"><div class="">--</div><div class="">ETH Zurich</div><div class="">Dr. Michele Dolfi</div><div class="">Institute for Theoretical Physics</div><div class="">HIT G 32.4</div><div class="">Wolfgang-Pauli-Str. 27</div><div class="">8093 Zurich</div><div class="">Switzerland</div><div class=""><br class=""></div><div class=""><a href="mailto:dolfim@phys.ethz.ch" class="">dolfim@phys.ethz.ch</a></div><div class=""><a href="http://www.itp.phys.ethz.ch/" class="">www.itp.phys.ethz.ch</a></div><div class=""><br class=""></div><div class="">+41 44 633 78 56 phone</div><div class="">+41 44 633 11 15 fax </div><div class=""><br class=""></div></div></span></div></span></div></span></div></span></div></span></div></span><br class="Apple-interchange-newline"></div></span><br class="Apple-interchange-newline"></div></span><br class="Apple-interchange-newline"><br class="Apple-interchange-newline"></div><br class=""><div class=""><blockquote type="cite" class=""><div class="">On Jan 17, 2017, at 4:10 PM, Axel Gagge <<a href="mailto:axel.gagge@fysik.su.se" class="">axel.gagge@fysik.su.se</a>> wrote:</div><br class="Apple-interchange-newline"><div class=""><div class="" style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; background-color: rgb(255, 255, 255);">Hello, I just wanted to ask if it is possible to preserve a combination of quantum numbers such as the total number of excitations:<br class=""></div><div class="" style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; background-color: rgb(255, 255, 255);"><br class=""></div><div class="" style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; background-color: rgb(255, 255, 255);">N = \sum_{bosonic sites} n_j + 1/2 \sum_{spinful sites} s_z<br class=""></div><div class="" style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; background-color: rgb(255, 255, 255);"><br class=""></div><div class="" style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; background-color: rgb(255, 255, 255);">and what the syntax for this would be? I guess that one option would be to define a new quantum number and let Splus raise it by 1/2 but I just thought that I would check this with you first!<br class=""></div><div class="" style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; background-color: rgb(255, 255, 255);"><br class=""></div><div class="" style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; background-color: rgb(255, 255, 255);">Otherwise, thank you for an excellent library! I have had no problems so far with the new release.<br class=""></div><div class="" style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; background-color: rgb(255, 255, 255);"><br class=""></div><div class="" style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; background-color: rgb(255, 255, 255);">Thanks,<br class=""></div><div class="" style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; background-color: rgb(255, 255, 255);">/Axel Gagge<br class=""></div><div class="" style="margin-top: 0px; margin-bottom: 0px; font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; background-color: rgb(255, 255, 255);">First year PhD Student, Stockholm University<br class=""></div><br class="" style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; background-color: rgb(255, 255, 255);"><br class="" style="font-family: Calibri, Arial, Helvetica, sans-serif; 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font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><br style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><span style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255); float: none; display: inline !important;" class="">----</span><br style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><span style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255); float: none; display: inline !important;" class="">Comp-phys-alps-users Mailing List for the ALPS Project</span><br style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><a href="http://alps.comp-phys.org/" style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class="">http://alps.comp-phys.org/</a><br style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><br style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><span style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255); float: none; display: inline !important;" class="">List info:<span class="Apple-converted-space"> </span></span><a href="https://lists.phys.ethz.ch//listinfo/comp-phys-alps-users" style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class="">https://lists.phys.ethz.ch//listinfo/comp-phys-alps-users</a><br style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><span style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255); float: none; display: inline !important;" class="">Archive:<span class="Apple-converted-space"> </span></span><a href="https://lists.phys.ethz.ch//pipermail/comp-phys-alps-users" style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class="">https://lists.phys.ethz.ch//pipermail/comp-phys-alps-users</a><br style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><br style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class=""><span style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255); float: none; display: inline !important;" class="">Unsubscribe by writing a mail to<span class="Apple-converted-space"> </span></span><a href="mailto:comp-phys-alps-users-leave@lists.phys.ethz.ch" style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255);" class="">comp-phys-alps-users-leave@lists.phys.ethz.ch</a><span style="font-family: Calibri, Arial, Helvetica, sans-serif; font-size: 16px; font-style: normal; font-variant-caps: normal; font-weight: normal; letter-spacing: normal; orphans: auto; text-align: start; text-indent: 0px; text-transform: none; white-space: normal; widows: auto; word-spacing: 0px; -webkit-text-stroke-width: 0px; background-color: rgb(255, 255, 255); float: none; display: inline !important;" class="">.</span></div></blockquote></div><br class=""></div></body></html>