Work statistics, quantum signatures and enhanced work extraction in quadratic fermionic models

Abstract

In quadratic fermionic models we determine a quantum correction to the work statistics after a sudden and a time-dependent driving. Such a correction lies in the non-commutativity of the initial quantum state and the time-dependent Hamiltonian, and is revealed via the Kirkwood-Dirac quasiprobability (KDQ) approach to two-times correlators. Thanks to the latter, one can assess the onset of non-classical signatures in the KDQ distribution of work, in the form of negative and complex values that no classical theory can reveal. By applying these concepts on the one-dimensional transverse-field Ising model, we relate non-classical behaviours of the KDQ statistics of work in correspondence of the critical points of the model. Finally, we also prove the enhancement of the extracted work in non-classical regimes where the non-commutativity takes a role.

References in corpus (48)

• Quantifying Coherence
• Quantum Coherence as a Resource
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Fluctuation theorems: Work is not an observable
• Dynamics of a Quantum Phase Transition and Relaxation to a Steady State
• Fluctuation Theorem for Arbitrary Open Quantum Systems
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Reduced Density Matrix after a Quantum Quench
• Quantum advantage in the charging process of Sachdev-Ye-Kitaev batteries
• The power of a critical heat engine
• Extractable Work from Correlations
• No-go theorem for the characterisation of work fluctuations in coherent quantum systems
• Nonequilibrium fluctuations in quantum heat engines: Theory, example, and possible solid state experiments
• Non-equilibrium quantum fluctuations of work
• Emergent thermodynamics in a quenched quantum many-body system
• Jarzynski-like equality for the out-of-time-ordered correlator
• Variational Thermal Quantum Simulation via Thermofield Double States
• The quasiprobability behind the out-of-time-ordered correlator
• Quantum work and the thermodynamic cost of quantum measurements
• Fluctuation-dissipation relations and critical quenches in the transverse field Ising chain
• Quantum fluctuation theorems beyond two-point measurements
• Nonadiabatic single-qubit quantum Otto engine
• Holevo's bound from a general quantum fluctuation theorem
• Characterizing correlations with full counting statistics: classical Ising and quantum XY spin chains
• A quasiprobability distribution for heat fluctuations in the quantum regime
• The quantum-classical correspondence principle for work distributions
• Negative quasiprobabilities enhance phase estimation in quantum-optics experiment
• Full Counting Statistics in the Transverse Field Ising Chain
• Universal finite-time thermodynamics of many-body quantum machines from Kibble-Zurek scaling
• Conditions tighter than noncommutation needed for nonclassicality
• Experimental verification of fluctuation relations with a quantum computer
• Work statistics across a quantum phase transition
• A note on the Full Counting Statistics of paired fermions
• Non-Equilibrium Dynamics of a Noisy Quantum Ising Chain: statistics of the work and prethermalization after a sudden quench of the transverse field
• Full counting statistics of the subsystem energy in the free fermions and the quantum spin chains
• The Ising critical quantum Otto engine
• Experimental test of exchange fluctuation relations in an open quantum system
• Experimental Validation of Fully Quantum Fluctuation Theorems Using Dynamic Bayesian Networks
• The role of quantum coherence in energy fluctuations
• Quantum heat engine with long-range advantages
• Relaxation of the order-parameter statistics in the Ising quantum chain
• Group-theoretical approach to the calculation of quantum work distribution
• Quantum work statistics with initial coherence
• Quasiprobability distribution of work in the quantum Ising model
• Quasi-probabilities of work and heat in an open quantum system
• Measurement of work and heat in the classical and quantum regimes
• Anomalous energy exchanges and Wigner function negativities in a single qubit gate

Cited by in corpus (20)

• Kirkwood-Dirac quasiprobability approach to the statistics of incompatible observables
• Properties and Applications of the Kirkwood-Dirac Distribution
• Quasiprobabilities in quantum thermodynamics and many-body systems
• Exploring quasiprobability approach to quantum work in the presence of initial coherence: Advantages of the Margenau-Hill distribution
• Interferometry of quantum correlation functions to access quasiprobability distribution of work
• Cooperative isentropic charging of hybrid quantum batteries
• Quantum speed limit for Kirkwood-Dirac quasiprobabilities
• Quantum unital Otto heat engines: using Kirkwood-Dirac quasi-probability for the engine's coherence to stay alive
• Ergotopy transport in a one dimensional spin chain
• Energetics of Fano coherence generation
• Non-positive energy quasidistributions in coherent collision models
• A Wigner quasiprobability distribution of work
• Quantum coherence assisted dynamical phase transition
• Universal work statistics in long-range interacting quantum systems
• Impact of quantum coherence on the dynamics and thermodynamics of quenched free fermions coupled to a localized defect
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Quasi-probability distribution of work in a measurement-based quantum Otto engine
• Energy exchange statistics and fluctuation theorem for non-thermal asymptotic states
• Quantum Coherence and Anomalous Work Extraction in Qubit Gate Dynamics
• Orthogonalization speed-up from quantum coherence after a sudden quench