Quantum Monte Carlo detection of SU(2) symmetry breaking in the participation entropies of line subsystems
Using quantum Monte Carlo simulations, we compute the participation (Shannon-R\'enyi) entropies for groundstate wave functions of Heisenberg antiferromagnets for one-dimensional (line) subsystems of length $L$ embedded in two-dimensional ($L\times L$) square lattices. We also study the line...
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| Format: | Article |
| Language: | English |
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SciPost
2017-03-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.2.2.011 |
| _version_ | 1818437690861813760 |
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| author | David J. Luitz, Nicolas Laflorencie |
| author_facet | David J. Luitz, Nicolas Laflorencie |
| author_sort | David J. Luitz, Nicolas Laflorencie |
| collection | DOAJ |
| description | Using quantum Monte Carlo simulations, we compute the participation
(Shannon-R\'enyi) entropies for groundstate wave functions of Heisenberg
antiferromagnets for one-dimensional (line) subsystems of length $L$ embedded
in two-dimensional ($L\times L$) square lattices. We also study the line
entropy at finite temperature, i.e. of the diagonal elements of the density
matrix, for three-dimensional ($L\times L\times L$) cubic lattices. The
breaking of SU(2) symmetry is clearly captured by a universal logarithmic
scaling term $l_q\ln L$ in the R\'enyi entropies, in good agreement with the
recent field-theory results of Misguish, Pasquier and Oshikawa
[arXiv:1607.02465]. We also study the dependence of the log prefactor $l_q$ on
the R\'enyi index $q$ for which a transition is detected at $q_c\simeq 1$. |
| first_indexed | 2024-12-14T17:28:41Z |
| format | Article |
| id | doaj.art-ec15ac56f5734746aa196e9b4ed00c19 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-14T17:28:41Z |
| publishDate | 2017-03-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-ec15ac56f5734746aa196e9b4ed00c192022-12-21T22:53:09ZengSciPostSciPost Physics2542-46532017-03-012201110.21468/SciPostPhys.2.2.011Quantum Monte Carlo detection of SU(2) symmetry breaking in the participation entropies of line subsystemsDavid J. Luitz, Nicolas LaflorencieUsing quantum Monte Carlo simulations, we compute the participation (Shannon-R\'enyi) entropies for groundstate wave functions of Heisenberg antiferromagnets for one-dimensional (line) subsystems of length $L$ embedded in two-dimensional ($L\times L$) square lattices. We also study the line entropy at finite temperature, i.e. of the diagonal elements of the density matrix, for three-dimensional ($L\times L\times L$) cubic lattices. The breaking of SU(2) symmetry is clearly captured by a universal logarithmic scaling term $l_q\ln L$ in the R\'enyi entropies, in good agreement with the recent field-theory results of Misguish, Pasquier and Oshikawa [arXiv:1607.02465]. We also study the dependence of the log prefactor $l_q$ on the R\'enyi index $q$ for which a transition is detected at $q_c\simeq 1$.https://scipost.org/SciPostPhys.2.2.011 |
| spellingShingle | David J. Luitz, Nicolas Laflorencie Quantum Monte Carlo detection of SU(2) symmetry breaking in the participation entropies of line subsystems SciPost Physics |
| title | Quantum Monte Carlo detection of SU(2) symmetry breaking in the participation entropies of line subsystems |
| title_full | Quantum Monte Carlo detection of SU(2) symmetry breaking in the participation entropies of line subsystems |
| title_fullStr | Quantum Monte Carlo detection of SU(2) symmetry breaking in the participation entropies of line subsystems |
| title_full_unstemmed | Quantum Monte Carlo detection of SU(2) symmetry breaking in the participation entropies of line subsystems |
| title_short | Quantum Monte Carlo detection of SU(2) symmetry breaking in the participation entropies of line subsystems |
| title_sort | quantum monte carlo detection of su 2 symmetry breaking in the participation entropies of line subsystems |
| url | https://scipost.org/SciPostPhys.2.2.011 |
| work_keys_str_mv | AT davidjluitznicolaslaflorencie quantummontecarlodetectionofsu2symmetrybreakingintheparticipationentropiesoflinesubsystems |