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<p><span style="font-size: 12pt;">With extra quantum number, fixed n.o. excitations: runs in 124</span><span style="font-size: 12pt;"> </span><span style="font-size: 12pt;">s,</span><span style="font-size: 12pt;"> </span><span style="font-size: 12pt;">E0, trunc_error
= </span><span style="font-size: 12pt;">-1.0000000000001179, 0.00082901673330108058</span><br>
</p>
<p>With no extra quantum number, no fixed n.o. excitations (grand canonical...): runs in 24 s, E0, trunc_error = <span style="font-size: 14px; white-space: pre-wrap;">-0.99999999999997691, -1.3941131613197575e-16</span></p>
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<p>I will proceed with the grand canonical and this is certainly enough, but is there some way around this slow-down? It would be nice to be able to conserve any charge which correspond to an abelian symmetry.<br>
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<p>Thanks,<br>
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<p>/Axel<br>
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<div id="divRplyFwdMsg" dir="ltr"><font face="Calibri, sans-serif" color="#000000" style="font-size:11pt"><b>Från:</b> Comp-phys-alps-users <comp-phys-alps-users-bounces@lists.phys.ethz.ch> för Matthias Troyer <troyer@phys.ethz.ch><br>
<b>Skickat:</b> den 18 januari 2017 18:47<br>
<b>Till:</b> comp-phys-alps-users@lists.phys.ethz.ch<br>
<b>Ämne:</b> Re: [ALPS-users] Conserve quantum number for composite unit cell</font>
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<div>Have you tried using a grandcanonical instead of fixing the quantum number?
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<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>
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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="">
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Many thanks,<br class="">
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Axel<br class="">
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<div id="divRplyFwdMsg" dir="ltr" class=""><font face="Calibri, sans-serif" class="" style="font-size:11pt"><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>
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<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.
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<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>
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<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.
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<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>
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<div class="">Best,</div>
<div class="">Michele</div>
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<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>
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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="">
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N = \sum_{bosonic sites} n_j + 1/2 \sum_{spinful sites} s_z<br class="">
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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="">
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Otherwise, thank you for an excellent library! I have had no problems so far with the new release.<br class="">
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Thanks,<br class="">
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/Axel Gagge<br class="">
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First year PhD Student, Stockholm University<br class="">
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<span id="cid:2A54261D-C0E9-4D6D-832A-129DA4131A81@psav.com"><my_models.xml></span><span id="cid:B0DDBB79-B0B9-4D87-9BAA-DE0B951F8060@psav.com"><my_lattices.xml></span><span id="cid:5632D609-92B9-4743-9854-76C6FACD8E83@psav.com"><Test of iDMRG.ipynb></span><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)">
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<span 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); float:none; display:inline!important">----</span><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)">
<span 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); float:none; display:inline!important">Comp-phys-alps-users
Mailing List for the ALPS Project</span><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)">
<a href="http://alps.comp-phys.org/" 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)">http://alps.comp-phys.org/</a><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)">
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