Out-of-equilibrium full counting statistics in Gaussian theories of quantum magnets
arXiv:2312.11333 · doi:10.21468/SciPostPhys.17.5.139
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.
arXiv comment54 pages, 35 figures
References in corpus (72)
- Gaussian Quantum Information
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting quantum systems
- Shot Noise in Mesoscopic Conductors
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
- Lieb-Schultz-Mattis in Higher Dimensions
- Lieb-Robinson bounds and the generation of correlations and topological quantum order
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Interaction Quench in the Hubbard model
- Probing quantum and thermal noise in an interacting many-body system
- Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
- Prethermalization and thermalization in models with weak integrability breaking
- Scrambling and entanglement spreading in long-range spin chains
- Sub-Poissonian fluctuations in a 1D Bose gas: from the quantum quasi-condensate to the strongly interacting regime
- Full counting statistics in a propagating quantum front and random matrix spectra
- A detailed study of Gaussian Boson Sampling
- Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunnelling models
- Quench Dynamics in a Model with Tuneable Integrability Breaking
- Confined Quasiparticle Dynamics in Long-Range Interacting Quantum Spin Chains
- Quantum quench in interacting field theory: a self-consistent approximation
- Uhlmann fidelity between two-mode Gaussian states
- The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
- Full quantum distribution of contrast in interference experiments between interacting one dimensional Bose liquids
- Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas
- Probing three-body correlations in a quantum gas using the measurement of the third moment of density fluctuations
- Crossover from adiabatic to sudden interaction quenches in the Hubbard model: Prethermalization and nonequilibrium dynamics
- Variational Study of Fermionic and Bosonic Systems with Non-Gaussian States: Theory and Applications
- Real-time evolution for weak interaction quenches in quantum systems
- Universality in the full counting statistics of trapped fermions
- Infinite-range Ising ferromagnet in a time-dependent transverse field: quench and ac dynamics near the quantum critical point
- Prethermalization and Persistent Order in the Absence of a Thermal Phase Transition
- Critical temperature and the transition from quantum to classical order parameter fluctuations in the three-dimensional Heisenberg antiferromagnet
- Thermalization and light cones in a model with weak integrability breaking
- Order-N Cluster Monte Carlo Method for Spin Systems with Long-range Interactions
- Impact of non-equilibrium fluctuations on pre-thermal dynamical phase transitions in long-range interacting spin chains
- Quantum Noise Analysis of Spin Systems Realized with Cold Atoms
- Characterizing correlations with full counting statistics: classical Ising and quantum XY spin chains
- Order parameter statistics in the critical quantum Ising chain
- Full Counting Statistics in the Transverse Field Ising Chain
- Transport fluctuations in integrable models out of equilibrium
- A Multi-Dimensional Lieb-Schultz-Mattis Theorem
- Chaotic dynamical ferromagnetic phase induced by non-equilibrium quantum fluctuations
- Full counting statistics in the gapped XXZ spin chain
- Ramsey interference in one dimensional systems: The full distribution function of fringe contrast as a probe of many-body dynamics
- Origin of the slow growth of entanglement entropy in long-range interacting spin systems
- Nonequilibrium Full Counting Statistics and Symmetry-Resolved Entanglement from Space-Time Duality
- Full counting statistics in the Haldane-Shastry chain
- How order melts after quantum quenches
- Full counting statistics of time of flight images
- Fidelity for Multimode Thermal Squeezed States
- Complex modes in unstable quadratic bosonic forms
- A note on the Full Counting Statistics of paired fermions
- Full counting statistics in the spin-1/2 Heisenberg XXZ chain
- Full counting statistics of the subsystem energy in the free fermions and the quantum spin chains
- Full Counting Statistics for Interacting Fermions with Determinantal Quantum Monte Carlo Simulations
- Evolution of Inhomogeneous Condensates: Self-consistent Variational Approach
- Prethermalization in the transverse-field Ising chain with long-range interactions
- Exact resummation of the Holstein-Primakoff expansion and differential equation approach to operator square-roots
- Dynamics of large deviations in the hydrodynamic limit: Non-interacting systems
- Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium
- Josephson oscillations in split one-dimensional Bose gases
- On the low-energy description for tunnel-coupled one-dimensional Bose gases
- Full counting statistics and the Edgeworth series for matrix product states
- Full counting statistics of the interference contrast from independent Bose-Einstein condensates
- Full Counting Statistics of Charge in Quenched Quantum Gases
- Dynamics of the order-parameter statistics in the long-range Ising model
- A simple theory for quantum quenches in the ANNNI model
- Spectrum and normal modes of non-hermitian quadratic boson operators
- Full counting statistics in the free Dirac theory
- Decay of long-lived oscillations after quantum quenches in gapped interacting quantum systems
- Thermal Kosterlitz-Thouless transitions in the long-range ferromagnetic quantum Ising chain revisited
Cited by in corpus (5)
- Quantum Mpemba effect in long-range spin systems
- Measuring full counting statistics in a trapped-ion quantum simulator
- High-accuracy evaluation of non-thermal magnetic states beyond spin-wave theory: applications to higher-energy states
- Macroscopic Quantum States and Universal Correlations in a Disorder-Order Interface Propagating over a 1D Ground State
- Full distribution and large deviations of local observables in an exactly solvable current carrying steady state of a strongly driven XXZ chain