Floquet stroboscopic divisibility in non-Markovian dynamics

Abstract

We provide a general discussion of the Liouvillian spectrum for a system coupled to a non-Markovian bath using Floquet theory. This approach is suitable when the system is described by a time-convolutionless master equation with time-periodic rates. Surprisingly, the periodic nature of rates allow us to have a stroboscopic divisible dynamical map at discrete times, which we refer to as Floquet stroboscopic divisibility. We illustrate the general theory for a Schrödinger cat which is roaming inside a non-Markovian bath, and demonstrate the appearance of stroboscopic revival of the cat at later time after its death. Our theory may have profound implications in entropy production in non-equilibrium systems.

We changed the title and explained in more detail the definition of non-Markovian dynamics used in the manuscript

References in corpus (15)

• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Assessing non-Markovian dynamics
• Dissipative Phase Transition in Central Spin Systems
• Foundations and Measures of Quantum Non-Markovianity
• Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
• Photon generation in an electromagnetic cavity with a time-dependent boundary
• Universal stabilization of a parametrically coupled qubit
• Multi-mode mediated exchange coupling in cavity QED
• Asymptotic Floquet states of open quantum systems: The role of interaction
• Convergence of the multimode quantum Rabi model of circuit quantum electrodynamics
• Driven open quantum systems and Floquet stroboscopic dynamics
• Detecting non-Markovianity of quantum evolution via spectra of dynamical maps
• Probing Quantum Memory Effects with High Resolution
• Bose-Hubbard lattice as a controllable environment for open quantum systems
• Asymptotic Floquet states of non-Markovian systems

Cited by in corpus (9)

• Noisy intermediate-scale quantum (NISQ) algorithms
• Exact solution of time-dependent Lindblad equations with closed algebras
• Dynamical quantum phase transitions and non-Markovian dynamics
• Learning quantum dynamics with latent neural ODEs
• High-frequency expansions for time-periodic Lindblad generators
• Tunable Non-Markovianity for Bosonic Quantum Memristors
• Unitary Evolutions Sourced By Interacting Quantum Memories: Closed Quantum Systems Directing Themselves Using Their State Histories
• The failure of semiclassical approach in the dissipative fully-connected Ising model
• Practical limitations of quantum data propagation on noisy quantum processors