Work statistics for sudden quenches in interacting quantum many-body systems

Abstract

Work in isolated quantum systems is a random variable and its probability distribution function obeys the celebrated fluctuation theorems of Crooks and Jarzynski. In this study, we provide a simple way to describe the work probability distribution function for sudden quench processes in quantum systems with large Hilbert spaces. This description can be constructed from two elements: the level density of the initial Hamiltonian, and a smoothed strength function that provides information about the influence of the perturbation over the eigenvectors in the quench process, and is especially suited to describe quantum many-body interacting systems. We also show how random models can be used to find such smoothed work probability distribution and apply this approach to different one-dimensional spin-$1/2$ chain models. Our findings provide an accurate description of the work distribution of such systems in the cases of intermediate and high temperatures in both chaotic and integrable regimes.

References in corpus (54)

• A nonequilibrium equality for free energy differences
• Chaos and Quantum Thermalization
• The Entropy Production Fluctuation Theorem and the Nonequilibrium Work Relation for Free Energy Differences
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
• Quantum Thermodynamics
• The role of quantum information in thermodynamics --- a topical review
• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Fluctuation theorems: Work is not an observable
• Quantum mechanical evolution towards thermal equilibrium
• Black Holes and Random Matrices
• Quantum Equivalence and Quantum Signatures in Heat Engines
• Experimental Test of Quantum Jarzynski Equality with a Trapped Ion System
• Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
• Experimental reconstruction of work distribution and verification of fluctuation relations at the full quantum level
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Thermodynamics of a Colloidal Particle in a Time-Dependent Non-Harmonic Potential
• Random Matrices and Chaos in Nuclear Physics
• No-go theorem for the characterisation of work fluctuations in coherent quantum systems
• Squeezed thermal reservoirs as a resource for a nano-mechanical engine beyond the Carnot limit
• Work measurement as a generalized quantum measurement
• Controlling Correlated Tunneling and Superexchange Interactions with AC-Driven Optical Lattices
• Emergent thermodynamics in a quenched quantum many-body system
• Efficiency of a quantum Otto heat engine operating under a reservoir at effective negative temperatures
• Onset of chaos and relaxation in isolated systems of interacting spins-1/2: energy shell approach
• Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance and out-of-time-ordered correlator
• Using a quantum work meter to test non-equilibrium fluctuation theorems
• MBL-mobile: Quantum engine based on many-body localization
• The quantum-classical correspondence principle for work distributions
• Assessing the non-equilibrium thermodynamics in a quenched quantum many-body system via single projective measurements
• Work and Quantum Phase Transitions: Is there Quantum Latency?
• Excited Eigenstates and Strength Functions for Isolated Systems of Interacting Particles
• Extreme Decoherence and Quantum Chaos
• Work Statistics, Loschmidt Echo and Information Scrambling in Chaotic Quantum Systems
• Quantum work statistics, Loschmidt echo and information scrambling
• Experimental verification of a Jarzynski-related information-theoretic equality using a single trapped ion
• Quantum-Classical Correspondence Principle for Work Distributions in a Chaotic System
• Quantum to classical transition in the work distribution for chaotic systems
• Work distributions for random sudden quantum quenches
• Emergence of correlations in the process of thermalization of interacting bosons
• Understanding quantum work in a quantum many-body system
• Experimental study of quantum thermodynamics using optical vortices
• Quantum work for sudden quenches in Gaussian random Hamiltonians
• Many-body effects on the thermodynamics of closed quantum systems
• Semiclassical approach to the work distribution
• The role of quantum work statistics in many-body physics
• Quantum-classical correspondence of work distributions for initial states with quantum coherence
• Work Distributions in 1-D Fermions and Bosons with Dual Contact Interactions
• Partial Fermionization---Spectral Universality in 1D Repulsive Bose Gases
• Irreversible Work Reduction by Disorder in Many-Body Quantum Systems
• Process of equilibration in many-body isolated systems: Diagonal versus thermodynamic entropy

Cited by in corpus (9)

• Quantum work statistics close to equilibrium
• Work-distribution quantumness and irreversibility when crossing a quantum phase transition in finite time
• Work statistics and symmetry breaking in an excited state quantum phase transition
• Nonequilibrium Green's function's approach to the calculation of work statistics
• Non-Gaussian work statistics at finite-time driving
• Optimal control of dissipation and work fluctuations for rapidly driven systems
• Superdiffusive quantum work and adiabatic quantum evolution in finite temperature chaotic Fermi systems
• Classical Theory of Quantum Work Distribution in Chaotic Fermion Systems
• Quantum fluctuation theorem for initial near-equilibrium system