Energetic cost for speedy synchronization in non-Hermitian quantum dynamics
arXiv:2305.16560 · doi:10.1103/PhysRevLett.133.020401
Abstract
Quantum synchronization is crucial for understanding complex dynamics and holds potential applications in quantum computing and communication. Therefore, assessing the thermodynamic resources required for finite-time synchronization in continuous-variable systems is a critical challenge. In the present work, we find these resources to be extensive for large systems. We also bound the speed of quantum and classical synchronization in coupled damped oscillators with non-Hermitian anti-PT-symmetric interactions, and show that the speed of synchronization is limited by the interaction strength relative to the damping. Compared to the classical limit, we find that quantum synchronization is slowed by the non-commutativity of the Hermitian and anti-Hermitian terms. Our general results could be tested experimentally and we suggest an implementation in photonic systems.
arXiv comment4.5 pages + Supplementary material, 4 figures, comments are welcome
References in corpus (63)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Non-Hermitian Physics
- The Role of Relative Entropy in Quantum Information Theory
- Continuous variable quantum information: Gaussian states and beyond
- Maximal work extraction from quantum systems
- Non-Hermitian skin effect and chiral damping in open quantum systems
- Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
- Quantum speed limit for non-Markovian dynamics
- Irreversible entropy production, from quantum to classical
- Quantum synchronization of quantum van der Pol oscillators with trapped ions
- Measures of quantum synchronization in continuous variable systems
- Symplectic invariants, entropic measures and correlations of Gaussian states
- Quantum synchronization of a driven self-sustained oscillator
- Generalized Clausius inequality for nonequilibrium quantum processes
- Periodic thermodynamics of isolated systems
- Nonequilibrium entropy production for open quantum systems
- Quantum Synchronization of Two Ensembles of Atoms
- Entanglement tongue and quantum synchronization of disordered oscillators
- Quantum synchronization of two Van der Pol oscillators
- Quantum synchronization and entanglement generation
- Mutual information as an order parameter for quantum synchronization
- Spin Correlations as a Probe of Quantum Synchronization in Trapped Ion Phonon-Lasers
- Squeezing Enhances Quantum Synchronization
- Non-Hermitian Hamiltonians and no-go theorems in quantum information
- Synchronizing the Smallest Possible System
- Adaptive synchronization in delay-coupled networks of Stuart-Landau oscillators
- Non-Hermitian quantum dynamics of a two-level system and models of dissipative environments
- Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
- Orthogonality Catastrophe as a Consequence of the Quantum Speed Limit
- Simple Quantum Key Distribution with qubit-based synchronization and a self-compensating polarization encoder
- Fast and simple qubit-based synchronization for quantum key distribution
- Lyapunov-based quantum synchronization in designed optomechanical systems
- Quantum synchronization and entanglement of two qubits coupled to a driven dissipative resonator
- Relative Entropy of Entanglement and Restricted Measurements
- Generalized Gibbs state with modified Redfield solution: Exact agreement up to second order
- Geometric quantum speed limits: a case for Wigner phase space
- Quantum Synchronization on the IBM Q System
- Collective power: Minimal model for thermodynamics of nonequilibrium phase transitions
- Quantum speed limits and the maximal rate of information production
- Classical limit of non-Hermitian quantum dynamics - a generalised canonical structure
- Explosive oscillation death in coupled Stuart-Landau oscillators
- Quantum Synchronisation in Nanoscale Heat Engines
- Noise-induced quantum synchronization
- Derivation of nonlinear single-particle equations via many-body Lindblad superoperators: A density-matrix approach
- Synchronization along quantum trajectories
- From quantum speed limits to energy-efficient quantum gates
- Canonically consistent quantum master equation
- Topological synchronization of quantum van der Pol oscillators
- Role of Coherence and Degeneracies in Quantum Synchronisation
- Quantum and classical ergotropy from relative entropies
- Many-body synchronisation in a classical Hamiltonian system
- Diverging quantum speed limits: a herald of classicality
- Capacity of Entanglement for Non-local Hamiltonian
- Kinetics and thermodynamics of a driven open quantum system
- Exceptional points in coupled dissipative dynamical systems
- Nonlinear extension of the quantum dynamical semigroup
- Cooperation and Competition in Synchronous Open Quantum Systems
- Generalised quantum speed limit for arbitrary time-continuous evolution
- Shortcut to synchronization in classical and quantum systems
- Stochastic thermodynamics of inertial-like Stuart-Landau dimer
- Synchronization Lower Bounds the Efficiency of Near-Degenerate Thermal Machines
- Quasi-stationary states of game-driven systems: a dynamical approach
- Edge mode bifurcations of two-dimensional topological lasers
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