Commit 840eff5a authored by Sebastian Greschner's avatar Sebastian Greschner

modified: references.bib

	modified:   supmat.aux
	modified:   supmat.log
	modified:   supmat.pdf
	modified:   supmat.tex
parent 50e6482a
......@@ -2,7 +2,7 @@
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@manual{supmat,
Title = {{\rm See {Supplementary Material}, which includes Refs.~\cite{...}, for details.}}
Title = {{\rm See {Supplementary Material}, which includes Refs.~\cite{aklt, Pollmann2010, Pollmann2012, Pollmann2012A}, for detailed numerical results and extended data on the RK-states and string-tension calculations.}}
}
@manual{DMRGnote,
......@@ -12,6 +12,49 @@
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@article{Kasper2016,
title={Schwinger pair production with ultracold atoms},
author={Kasper, V and Hebenstreit, Florian and Oberthaler, MK and Berges, J},
journal={Physics Letters B},
volume={760},
pages={742--746},
year={2016},
publisher={Elsevier}
}
@article{Zache2018,
doi = {10.1088/2058-9565/aac33b},
url = {https://doi.org/10.1088%2F2058-9565%2Faac33b},
year = 2018,
month = {jun},
publisher = {{IOP} Publishing},
volume = {3},
number = {3},
pages = {034010},
author = {T V Zache and F Hebenstreit and F Jendrzejewski and M K Oberthaler and J Berges and P Hauke},
title = {Quantum simulation of lattice gauge theories using Wilson fermions},
journal = {Quantum Science and Technology}
}
@article{Stannigel2014,
title = {Constrained Dynamics via the Zeno Effect in Quantum Simulation: Implementing Non-Abelian Lattice Gauge Theories with Cold Atoms},
author = {Stannigel, K. and Hauke, P. and Marcos, D. and Hafezi, M. and Diehl, S. and Dalmonte, M. and Zoller, P.},
journal = {Phys. Rev. Lett.},
volume = {112},
issue = {12},
pages = {120406},
numpages = {6},
year = {2014},
month = {Mar},
publisher = {American Physical Society},
doi = {10.1103/PhysRevLett.112.120406},
url = {https://link.aps.org/doi/10.1103/PhysRevLett.112.120406}
}
@article{bohrdt2019,
title={Multiparticle interactions for ultracold atoms in optical tweezers: Cyclic ring-exchange terms},
......@@ -2689,6 +2732,30 @@ url={https://doi.org/10.1038/nphys2750}
publisher={APS}
}
@Article{Pollmann2012A,
Title = {Symmetry protection of topological phases in one-dimensional quantum spin systems},
Author = {Pollmann, Frank and Berg, Erez and Turner, Ari M and Oshikawa, Masaki},
Journal = {Phys. Rev. B},
Year = {2012},
Number = {7},
Pages = {075125},
Volume = {85},
Publisher = {APS}
}
@Article{Pollmann2012,
Title = {Detection of symmetry-protected topological phases in one dimension},
Author = {Pollmann, Frank and Turner, Ari M},
Journal = {Phys. Rev. B},
Year = {2012},
Number = {12},
Pages = {125441},
Volume = {86},
Publisher = {APS}
}
@article {Anderson1987,
author = {Anderson, P. W.},
......
\relax
\citation{aklt}
\citation{Cardarelli2017}
\citation{Pollmann2010,Pollmann2012,Pollmann2012A}
\newlabel{FirstPage}{{}{1}{}{}{}}
\@writefile{toc}{\contentsline {title}{Supplementary material to ''Deconfinement transition and boundary Haldane order in multileg quantum link ladders``}{1}{}}
\@writefile{toc}{\contentsline {title}{Supplementary material to ''Deconfining disordered phase in two-dimensional quantum link models``}{1}{}}
\@writefile{toc}{\contentsline {abstract}{Abstract}{1}{}}
\@writefile{toc}{\contentsline {section}{\numberline {I}1D toy model}{1}{}}
\newlabel{eq:lgt1dMPS}{{1}{1}{}{}{}}
\@writefile{toc}{\contentsline {section}{\numberline {II}2-leg ladder}{1}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Ground-state energy per site $E / L$ and average entanglement entropy $S_{vN}$ of the 1D model (infinite DMRG simulation, $\chi =80$). The lighter colored curves depict the $\chi =2$ ansatz described in the main text and Eq.\nobreakspace {}\textup {\hbox {\mathsurround \z@ \normalfont (\ignorespaces 1{}{}{}\hbox {}\unskip \@@italiccorr )}}.}}{1}{}}
\newlabel{fig:S_1d_m0}{{1}{1}{}{}{}}
\@writefile{toc}{\contentsline {section}{\numberline {III}2-leg cylinder}{1}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Entanglement spectrum of the QLM Eq.\nobreakspace {}(1) of the main text at $\mu =0$ for (a) 2-leg ladder, $L=200$ (b) 3-leg ladder, $L=100$ (c) 4-leg ladder, $L=100$ (DMRG data).}}{2}{}}
\@writefile{toc}{\contentsline {section}{\numberline {II}2-leg ladder}{1}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Mid-system entanglement spectrum of the QLM Eq.\nobreakspace {}(1) of the main text at $\mu =0$ for (a) 2-leg ladder, $L=200$ (b) 3-leg ladder, $L=100$ (c) 4-leg ladder, $L=100$ (DMRG data).}}{2}{}}
\newlabel{fig:S_entanglement}{{2}{2}{}{}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Boundary-parity- and string-order of the QLM Eq.\nobreakspace {}(1) of the main text at $\mu =0$ for (a) 2-leg ladder, $L=200$ (b) 3-leg ladder, $L=100$ (c) 4-leg ladder, $L=100$ (DMRG data).}}{2}{}}
\newlabel{figs:S_stringorder}{{3}{2}{}{}{}}
\newlabel{fig:S_stringorder}{{3}{2}{}{}{}}
\@writefile{toc}{\contentsline {section}{\numberline {III}2-leg cylinder}{2}{}}
\@writefile{lof}{\contentsline {figure}{\numberline {4}{\ignorespaces Schematic phase diagram of the 2-leg cylinder model. Colorings depict (a) the average entanglement entropy and (b) the absolute expectation value of spins along the y-direction $O_M$. }}{2}{}}
\newlabel{fig:S_pd_2torus}{{4}{2}{}{}{}}
\@writefile{toc}{\contentsline {section}{\numberline {IV}3 and 4-leg ladder}{2}{}}
\@writefile{toc}{\contentsline {section}{\numberline {V}RK states}{2}{}}
\bibdata{supmatNotes,references}
\bibcite{Cardarelli2017}{{1}{2017}{{Cardarelli\ \emph {et~al.}}}{{Cardarelli, Greschner,\ and\ Santos}}}
\bibstyle{apsrev4-1}
......@@ -26,6 +27,7 @@
\newlabel{fig:S_class_plt}{{5}{3}{}{}{}}
\@writefile{lot}{\contentsline {table}{\numberline {I}{\ignorespaces Estimated critical values of the exchange $J_y$ (in units of $J_x=1$) for the phase transition to the intermediate DP phase for $\mu =0$.}}{3}{}}
\newlabel{tab:S_transitions}{{I}{3}{}{}{}}
\@writefile{toc}{\contentsline {section}{\numberline {V}RK states}{3}{}}
\@writefile{toc}{\contentsline {section}{\numberline {VI}Phase diagram}{3}{}}
\@writefile{toc}{\contentsline {section}{\numberline {VII}Extended data on the string tension}{3}{}}
\@writefile{toc}{\contentsline {section}{\numberline {}References}{3}{}}
......
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