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Out-of-equilibrium full counting statistics in Gaussian theories of quantum magnets
Statistical Mechanics · Submitted 18 Dec 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim To extract probability distributions we derive a simple formula for the characteristic function of generic quadratic observables in any Gaussian theory of bosons.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We consider the probability distributions of the subsystem (staggered) magnetization in ordered and disordered models of quantum magnets in D dimensions. | contribution 0.76 | 0.73 | 0.05 | asserted 0.74 |
| s1 | We focus on Heisenberg antiferromagnets and long-range transverse-field Ising models as particular examples. | contribution 0.43 | 0.40 | 0.02 | asserted 0.89 |
| s2 | 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. | method 0.98 | 0.94 | 0.09 | asserted 1.00 |
| s3 | To extract probability distributions we derive a simple formula for the characteristic function of generic quadratic observables in any Gaussian theory of bosons. | method 0.71 | 0.95 | 0.12 | asserted 1.00 |
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Original abstract
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.
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To study quench dynamics using the HP representation we apply the self-consistent time-dependent mean-field theory (SCTDMFT) [ref] , reviewed in Appendix [ref], to the HP4 Hamiltonian ([ref]).
Decay of long-lived oscillations after quantum quenches in gapped interacting quantum systems · Self-consistent mean-field approximation out of equilibrium I · 1.00
Cites as background 1 paper
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These experiments in turn motivated theoretical efforts to compute PDFs both in [ref] and out of [ref] equilibrium.
Full Counting Statistics of Charge in Quenched Quantum Gases · Introduction · 0.80
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