Effects of Quantum Coherence on Work Statistics

Abstract

In the conventional two-point measurement scheme of quantum thermodynamics, quantum coherence is destroyed by the first measurement. But as we know the coherence really plays an important role in the quantum thermodynamics process, and how to describe the work statistics for a quantum coherent process is still an open question. In this paper, we use the full counting statistics method to investigate the effects of quantum coherence on work statistics. First, we give a general discussion and show that for a quantum coherent process, work statistics is very different from that of the two-point measurement scheme, specifically the average work is increased or decreased and the work fluctuation can be decreased by quantum coherence, which strongly depends on the relative phase, the energy level structure and the external protocol. Then, we concretely consider a quenched 1-D transverse Ising model, and show that quantum coherence has a more significant influence on work statistics in the ferromagnetism regime compared with that in the paramagnetism regime, so that due to the presence of quantum coherence the work statistics can exhibit the critical phenonmenon even at high temperature.

published version, 13 pages, 5 figures

References in corpus (23)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Fluctuation theorems: Work is not an observable
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• The Physics of Maxwell's demon and information
• Fluctuation theorems for stochastic dynamics
• Ensemble and Trajectory Thermodynamics: A Brief Introduction
• Fluctuation Theorem for Arbitrary Open Quantum Systems
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• Quantum Operation Time Reversal
• Fluctuation theorems in driven open quantum systems
• Quantum fluctuation theorems, contextuality and work quasi-probabilities
• Clock-work trade-off relation for coherence in quantum thermodynamics
• The Big World of Nanothermodynamics
• Quantum jumps and entropy production
• Probing Quantum Interference Effects in the Work Distribution
• Stochastic thermodynamics of rapidly driven systems
• Quasiprobabilistic Interpretation of Weak measurements in Mesoscopic Junctions
• Characteristic Functions Based on Quantum Jump Trajectory
• Probing the excited-state quantum phase transition through statistics of Loschmidt echo and quantum work
• Statistics of Measurement of Non-commuting Quantum Variables: Monitoring and Purification of a qubit
• Heat fluctuations and initial ensembles
• Calculating work in adiabatic two-level quantum Markovian master equations: A characteristic function method
• Fluctuations of work in nearly adiabatically driven open quantum systems

Cited by in corpus (21)

• Quantum Engines and Refrigerators
• A quasiprobability distribution for heat fluctuations in the quantum regime
• Quantum work statistics close to equilibrium
• Quasiprobabilities in quantum thermodynamics and many-body systems
• The role of quantum coherence in energy fluctuations
• Experimentally reducing the quantum measurement back-action in work distributions by a collective measurement
• Work-distribution quantumness and irreversibility when crossing a quantum phase transition in finite time
• Quasiprobability distribution of work in the quantum Ising model
• Non-Gaussian work statistics at finite-time driving
• Fluctuating work in coherent quantum systems: proposals and limitations
• Particle current statistics in driven mesoscale conductors
• Energy conservation and fluctuation theorem are incompatible for quantum work
• A Wigner quasiprobability distribution of work
• The Duality in Quantum Work
• Quantum coherence assisted dynamical phase transition
• A single measurement scheme for quantum work statistics based on coherent or squeezing state
• Revising the quantum work fluctuation framework to encompass energy conservation
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Experimental demonstration of generalized quantum fluctuation theorems in the presence of coherence
• Quasi-probability distribution of work in a measurement-based quantum Otto engine
• Quantum geometrical current and coherence of the open gravitation system: loop quantum gravity coupled with a thermal scalar field