Thermodynamics and the quantum speed limit in the non-Markovian regime
arXiv:2105.15083 · doi:10.1103/PhysRevA.104.042202
Abstract
Quantum speed limit (QSL) for open quantum systems in the non-Markovian regime is analyzed. We provide a the lower bound for the time required to transform an initial state to a final state in terms of thermodynamic quantities such as the energy fluctuation, entropy production rate and dynamical activity. Such bound was already analyzed for Markovian evolution satisfying detailed balance condition. Here we generalize this approach to deal with arbitrary evolution governed by time-local generator. Our analysis is illustrated by three paradigmatic examples of qubit evolution: amplitude damping, pure dephasing, and the eternally non-Markovian evolution.
arXiv comment10 pages, 4 figures. Close to published version
References in corpus (44)
- Stochastic thermodynamics, fluctuation theorems, and molecular machines
- Quantum Coherence as a Resource
- Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
- A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
- Non-Markovian dynamics in open quantum systems
- Entanglement and non-Markovianity of quantum evolutions
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- Quantum Computers and Dissipation
- The maximum speed of dynamical evolution
- Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
- Quantum speed limit for physical processes
- Quantum speed limit for non-Markovian dynamics
- Quantum speed limits in open system dynamics
- Dynamic first-order phase transition in kinetically constrained models of glasses
- Irreversible entropy production, from quantum to classical
- Canonical form of master equations and characterization of non-Markovianity
- Fluctuations and response of nonequilibrium states
- On the degree of non-Markovianity of quantum evolution
- Concepts of quantum non-Markovianity: a hierarchy
- The Three Faces of the Second Law: I. Master Equation Formulation
- Thermodynamic formalism for systems with Markov dynamics
- Stochastic wave function method for non-Markovian quantum master equations
- The fundamental limit on the rate of quantum dynamics: the unified bound is tight
- Universal trade-off relation between power and efficiency for heat engines
- Generalized Geometric Quantum Speed Limits
- Speed Limit for Classical Stochastic Processes
- Decoherence of quantum registers
- Quantum Speed Limits Across the Quantum-to-Classical Transition
- Quantum Speed Limit is Not Quantum
- Quantum speedup in a memory environment
- Tightening Quantum Speed Limits for Almost All States
- Speed limit for open quantum systems
- Stochastic thermodynamic interpretation of information geometry
- First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
- Nonequilibrium linear response for Markov dynamics, I: jump processes and overdamped diffusions
- Generalized trace distance measure connecting quantum and classical non-Markovianity
- Tight, robust, and feasible quantum speed limits for open dynamics
- Eternal non-Markovianity: from random unitary to Markov chain realisations
- Divisibility and Information Flow Notions of Quantum Markovianity for Noninvertible Dynamical Maps
- Role of non-Markovianity and backflow of information in the speed of quantum evolution
- There is no general connection between the quantum speed limit and non-Markovianity
- The initial-state dependence of quantum speed limit
- Fluctuation theorems for non-Markovian quantum processes
- Quantum speed limit and divisibility of the dynamical map
Cited by in corpus (12)
- Impact of non-Markovian evolution on characterizations of quantum thermodynamics
- Quantum Speed Limit in Terms of Coherence Variations
- The effect of quantum memory on quantum speed limit time for CP-(in)divisible channels
- Quantum processes as thermodynamic resources: the role of non-Markovianity
- Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
- Witnessing non-Markovianity with Gaussian quantum steering in collision model
- Family of attainable geometric quantum speed limits
- Quantum-imaginarity-based quantum speed limit
- Quantum dynamical speedup for correlated initial states
- Attainable quantum speed limit for N-dimensional quantum systems
- Memory effects displayed in the evolution of continuous variable system
- Implementation of multiparticle quantum speed limits on observables