On Markovianity and classicality in multilevel spin-boson models

Abstract

We provide a detailed discussion about the unitary and reduced evolution induced by family of Hamiltonian models describing a multilevel system, with a ground state and a possibly multilevel excited sector, coupled to a multimode boson field via a rotating-wave interaction. We prove explicitly that the system, in the limit in which the coupling is flat with respect to the boson frequencies, is Markovian under sharp measurements in arbitrary bases; we also find necessary and sufficient conditions under which the process is classical, i.e. its family of multitime joint probability distributions satisfies the Kolmogorov consistency condition, and may thus be equivalently obtained by a classical stochastic process.

arXiv comment27 pages; typos corrected

References in corpus (32)

• Decoherence, einselection, and the quantum origins of the classical
• The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Non-Markovian dynamics in open quantum systems
• Entanglement and non-Markovianity of quantum evolutions
• Quantum Non-Markovianity: Characterization, Quantification and Detection
• Concepts of quantum non-Markovianity: a hierarchy
• Non-Markovian quantum processes: complete framework and efficient characterisation
• Operational Markov condition for quantum processes
• Quantum stochastic processes and quantum non-Markovian phenomena
• Completely Positive Divisibility Does Not Mean Markovianity
• Quantum regression theorem and non-Markovianity of quantum dynamics
• High-dimensional quantum teleportation under noisy environments
• Non-perturbative stochastic method for driven spin-boson model
• Quantum simulation of the spin-boson model with a microwave circuit
• Coherence and non-classicality of quantum Markov processes
• Simulating Open Quantum Systems with Hamiltonian Ensembles and the Nonclassicality of the Dynamics
• Quantum non-Markovian processes break conditional past-future independence
• Quantifying the nonclassicality of pure dephasing
• Quantum capacity analysis of multi-level amplitude damping channels
• Conditional past-future correlation induced by non-Markovian dephasing reservoirs
• Detection of quantum non-Markovianity close to the Born-Markov approximation
• Hidden non-Markovianity in open quantum systems
• Distinguishing between quantum and classical Markovian dephasing dissipation
• Quantum regression beyond the Born-Markov approximation for generalized spin-boson models
• Quantum regression in dephasing phenomena
• Simple criteria for noise resistance of two qudit entanglement
• Spectral properties of the singular Friedrichs-Lee Hamiltonian
• Generalized spin-boson models with non-normalizable form factors
• Statistics of projective measurement on a quantum probe as a witness of noncommutativity of algebra of a probed system
• Precession-induced nonclassicality of the free induction decay of NV centers by a dynamical polarized nuclear spin bath
• Excitation-damping quantum channels

Cited by in corpus (12)

• Quantum non-Markovianity: Overview and recent developments
• Time-convolutionless master equations for composite open quantum systems
• On the classicality of quantum dephasing processes
• Unveiling the nonclassicality within quasi-distribution representations through deep learning
• Double or nothing: a Kolmogorov extension theorem for multitime (bi)probabilities in quantum mechanics
• Renormalization of spin$\unicode{x2013}$boson interactions mediated by singular form factors
• On positively divisible non-Markovian processes
• Adaptively partitioned analog quantum simulation on near-term quantum computers: The nonclassical free-induction decay of NV centers in diamond
• A signature of quantumness in pure decoherence control
• The Adiabatic Wigner-Weisskopf Model
• Strong symmetries in collision models and physical dilations of covariant quantum maps
• From Superradiance to Superabsorption: An Exact Treatment of Non-Markovian Cooperative Radiation