Quantum work statistics across a critical point: full crossover from sudden quench to the adiabatic limit
arXiv:2502.01601 · doi:10.1103/vn83-mt2v
Abstract
When an external parameter drives a system across a quantum phase transition at a finite rate, work is performed on the system and entropy is dissipated, due to the creation of excitations via the Kibble-Zurek mechanism. Although both the adiabatic and sudden-quench limits have been studied in detail, the quantum work statistics along the crossover connecting these limits has largely been an open question. Here we obtain exact scaling functions for the work statistics along the full crossover from adiabatic to sudden-quench limits for critical quantum impurity problems, by combining linear response theory, conformal field theory, and the numerical renormalization group. These predictions can be tested in charge-multichannel Kondo quantum dot devices, where the dissipated work corresponds to the creation of nontrivial excitations such as Majorana fermions or Fibonacci anyons.
9+6 pages, 5+1 figures; references added
References in corpus (50)
- The numerical renormalization group method for quantum impurity systems
- Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
- Fluctuation theorems: Work is not an observable
- Irreversible entropy production, from quantum to classical
- Quantum quenches in 1+1 dimensional conformal field theories
- Observation of the two-channel Kondo effect
- Sum-rule Conserving Spectral Functions from the Numerical Renormalization Group
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Test of Jarzynski and Crooks fluctuation relations in an electronic system
- Two-channel Kondo effect and renormalization flow with macroscopic quantum charge states
- The role of quantum coherence in non-equilibrium entropy production
- Emergent thermodynamics in a quenched quantum many-body system
- The role of coherence in the non-equilibrium thermodynamics of quantum systems
- Tunable Quantum Criticality and Super-ballistic Transport in a `Charge' Kondo Circuit
- First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
- Distribution of Entropy Production in a Single-Electron Box
- Universal Fermi liquid crossover and quantum criticality in a mesoscopic device
- Quantum Phase Transition in a Resonant Level Coupled to Interacting Leads
- Coherent and dissipative dynamics at quantum phase transitions
- Finite-Time Quantum Landauer Principle and Quantum Coherence
- Quantum work statistics close to equilibrium
- Assessing the non-equilibrium thermodynamics in a quenched quantum many-body system via single projective measurements
- Observation of Majorana Quantum Critical Behavior in a Resonant Level Coupled to a Dissipative Environment
- Quantum fluctuations hinder finite-time information erasure near the Landauer limit
- Work and Quantum Phase Transitions: Is there Quantum Latency?
- Fractional entropy of multichannel Kondo systems from conductance-charge relations
- Generalized Wilson Chain for solving multichannel quantum impurity problems
- Work statistics across a quantum phase transition
- Quantum simulation of an exotic quantum critical point in a two-site charge Kondo circuit
- Anyons in Multichannel Kondo Systems
- Interleaved numerical renormalization group as an efficient multiband impurity solver
- Universality and scaling in a charge two-channel Kondo device
- Work statistics in stochastically driven systems
- Quasiprobabilities in quantum thermodynamics and many-body systems
- Entropy measurement of a strongly coupled quantum dot
- Experimental verification of the work fluctuation-dissipation relation for information-to-work conversion
- Kibble-Zurek scaling of the irreversible entropy production
- Moments of work in the two-point measurement protocol for a driven open quantum system
- Equilibrium free energy measurement of a confined electron driven out of equilibrium
- Heat dissipation and fluctuations in a driven quantum dot
- Work-distribution quantumness and irreversibility when crossing a quantum phase transition in finite time
- Observing the universal screening of a Kondo impurity
- Manipulating Non-Abelian Anyons in a Chiral Multichannel Kondo Model
- Stochastic thermodynamics of a quantum dot coupled to a finite-size reservoir
- Non-Gaussian work statistics at finite-time driving
- Automatic Differentiable Numerical Renormalization Group
- Entropy of the quantum work distribution
- The role of quantum work statistics in many-body physics
- Generalised linear response theory for the full quantum work statistics
- Driving a Quantum Phase Transition at Arbitrary Rate: Exact solution of the Transverse-Field Ising model