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Autori principali: Senese, Riccardo, Robertson, Jacob H., Essler, Fabian H. L.
Natura: Preprint
Pubblicazione: 2023
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Accesso online:https://arxiv.org/abs/2312.11333
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author Senese, Riccardo
Robertson, Jacob H.
Essler, Fabian H. L.
author_facet Senese, Riccardo
Robertson, Jacob H.
Essler, Fabian H. L.
contents We consider the probability distributions of the subsystem (staggered) magnetization in ordered and disordered models of quantum magnets in D dimensions. We focus on Heisenberg antiferromagnets and long-range transverse-field Ising models as particular examples. By employing a range of self-consistent time-dependent mean-field approximations in conjunction with Holstein-Primakoff, Dyson-Maleev, Schwinger boson and modified spin-wave theory representations we obtain results in thermal equilibrium as well as during non-equilibrium evolution after quantum quenches. To extract probability distributions we derive a simple formula for the characteristic function of generic quadratic observables in any Gaussian theory of bosons.
format Preprint
id arxiv_https___arxiv_org_abs_2312_11333
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Out-of-equilibrium full counting statistics in Gaussian theories of quantum magnets
Senese, Riccardo
Robertson, Jacob H.
Essler, Fabian H. L.
Statistical Mechanics
We consider the probability distributions of the subsystem (staggered) magnetization in ordered and disordered models of quantum magnets in D dimensions. We focus on Heisenberg antiferromagnets and long-range transverse-field Ising models as particular examples. By employing a range of self-consistent time-dependent mean-field approximations in conjunction with Holstein-Primakoff, Dyson-Maleev, Schwinger boson and modified spin-wave theory representations we obtain results in thermal equilibrium as well as during non-equilibrium evolution after quantum quenches. To extract probability distributions we derive a simple formula for the characteristic function of generic quadratic observables in any Gaussian theory of bosons.
title Out-of-equilibrium full counting statistics in Gaussian theories of quantum magnets
topic Statistical Mechanics
url https://arxiv.org/abs/2312.11333