Work statistics and thermal phase transitions

Abstract

Many previous studies have demonstrated that work statistics can exhibit certain singular behaviors in the quantum critical regimes of many-body systems at zero or very low temperatures. However, as the temperature increases, it is commonly believed that such singularities will vanish. Contrary to this common recognition, we report a nonanalytic behavior of the averaged work done, which occurs at finite temperature, in the Dicke model as well as the Lipkin-Meshkov-Glick model subjected to the sudden quenches of their work parameters. It is revealed that work statistics can be viewed as a signature of the thermal phase transition when the quenched parameters are tuned across the critical line that separates two different thermal phases.

arXiv commentThis paper has been accepted by Phys. Rev. E

References in corpus (47)

• A nonequilibrium equality for free energy differences
• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• 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
• Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Chaos and the Quantum Phase Transition in the Dicke Model
• Fluctuation theorems: Work is not an observable
• The Nonequilibrium Thermodynamics of Small Systems
• Irreversible entropy production, from quantum to classical
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• The thermodynamics of prediction
• Quantum thermodynamic devices: from theoretical proposals to experimental reality
• The Thermodynamical Limit of the Lipkin-Meshkov-Glick Model
• Test of Jarzynski and Crooks fluctuation relations in an electronic system
• Comparison of far-from-equilibrium work relations
• {\it Colloquium:} Statistical Mechanics and Thermodynamics at Strong Coupling: Quantum and Classical
• Quantum work statistics close to equilibrium
• Finite-temperature mutual information in a simple phase transition
• Work Extraction and Energy Storage in the Dicke Model
• Quantum Fidelity and Thermal Phase Transitions
• Work distribution and edge singularities for generic time-dependent protocols in extended systems
• Generalized Gibbs ensemble and work statistics of a quenched Luttinger liquid
• Work statistics across a quantum phase transition
• Work as an external quantum observable and an operational quantum work fluctuation theorem
• Quantum quenches in the Dicke model: statistics of the work done and of other observables
• Characteristic Functions Based on Quantum Jump Trajectory
• Experimental verification of the work fluctuation-dissipation relation for information-to-work conversion
• Thermal and Quantum Phase Transitions in Atom-Field Systems: a Microcanonical Analysis
• A unified approach to the derivation of work theorems for equilibrium and steady-state, classical and quantum Hamiltonian systems
• Exact work statistics of quantum quenches in the anisotropic XY model
• Work statistics and symmetry breaking in an excited state quantum phase transition
• Effects of the Dzyaloshinsky-Moriya interaction on nonequilibrium thermodynamics in the $XY$ chain in a transverse field
• Work distribution in thermal processes
• Thermodynamic properties of the Dicke model in the strong-coupling regime
• Nonequilibrium Green's function's approach to the calculation of work statistics
• Fluctuation theorems and thermodynamic uncertainty relations
• Work statistics in non-Hermitian evolutions with Hermitian endpoints
• Microcanonical work and fluctuation relations for an open system: An exactly solvable model
• Detailed fluctuation theorem bounds apparent violations of the second law
• Computing characteristic functions of quantum work in phase space
• Path integral approach to the calculation of the characteristic function of work
• Self-consistency of the two-point energy measurement protocol
• Universal scaling of work statistics for quantum quenches
• Role of topology on the work distribution function of a quenched Haldane model of graphene
• Theory of Quantum Work in Metallic Grains

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