Collision models for open quantum systems coupled to finite environments

• URL: http://arxiv.org/abs/2606.14163v1
• Date: Fri, 12 Jun 2026 06:42:11 GMT
• Title: Collision models for open quantum systems coupled to finite environments
• Abstract summary: We show that complete suppression of system--environment correlations uniquely requires a full environmental reset.<n>A partial reset yields a continuous transition between Markovian and non-Markovian regimes governed by a single dimensionless relaxation parameter.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study a system qubit repeatedly interacting with the same environmental qubit, with a reservoir acting on the environment between collisions via a completely positive, trace-preserving map. We show that complete suppression of system--environment correlations uniquely requires a full environmental reset, recovering a semi group dynamics with a time-independent Gorini--Kossakowski--Sudarshan--Lindblad generator, whereas a partial reset yields a continuous transition between Markovian and non-Markovian regimes governed by a single dimensionless relaxation parameter. For a resonant excitation-exchange interaction, we obtain exact closed-form expressions for the Bloch-vector dynamics for both a generalized depolarizing channel and a generalized amplitude-damping channel acting as the reservoir-induced map. Using the Breuer--Laine--Piilo measure and a Choi-matrix CP-divisibility witness, we identify three distinct dynamical regimes across the parameter space: CP-divisible Markovian dynamics, CP-indivisible but P-divisible dynamics, and non-P-divisible non-Markovian dynamics. The boundaries between these regimes, and the structural differences between uniform and anisotropic environmental relaxation, are characterized numerically.

Related papers

• Floquet-Resolved Dissipation Selects Entanglement Beyond Population Spectroscopy [41.99844472131922]
  We show that two dissipative descriptions of the same parametrically coupled qubits can yield closely similar period-averaged populations.<n>Both retain the complete periodically driven Hamiltonian, the same microscopic bath couplings, and the same physical observables.
  arXiv  Detail & Related papers  (2026-08-12T15:33:26Z)
• Entanglement Dynamics of Separable Squeezed States in Finite Memory Structured Reservoir [1.720105558875703]
  Entanglement in continuous-variable Gaussian systems is a key resource, and common reservoirs can both suppress and generate correlations.<n>We study two bosonic modes coupled to a common reservoir, each in a separable squeezed vacuum.<n>We identify three mechanisms absent in Markovian dynamics: (1) A detuning condition that freezes entanglement trajectories across reservoir correlation times; (2) birth, death, and revival of entanglement from inputs; and (3) integer-locked beating with square-wave oscillations produced by periodic detuning.
  arXiv  Detail & Related papers  (2026-05-14T21:16:38Z)
• Coherence-Controlled Quantum Zeno Dynamics from Exact Reset Maps [0.0]
  We develop an exact framework for quantum Zeno and anti-Zeno dynamics in a broad class of open systems.<n>We treat the environment through an exact stroboscopic resetting scheme acting at the level of the single-particle density matrix.<n>Our results identify coherence versus coherence retention as the key factor controlling the reset-induced Zeno physics.
  arXiv  Detail & Related papers  (2026-03-29T10:32:38Z)
• Interaction-Enabled Hartree Fixed Points in Fermionic Resetting Dynamics [0.0]
  In resetting dynamics, a system is repeatedly coupled to and decoupled from ancillary degrees of freedom that are recoupled between interactions.<n>This provides a versatile route to engineer nonequilibrium states and constitutes a powerful and analytically transparent framework for studying nonequilibrium dynamics in fermionic models.<n>We introduce a Hartree mean-field treatment of density-density interactions that preserves closure of the SPDM dynamics while producing genuinely nonlinear behavior.
  arXiv  Detail & Related papers  (2026-03-16T17:14:08Z)
• Entropy Flow and Exceptional-Point Structure in Two-Mode Squeezed-Bath Dynamics [0.0]
  We show that squeezing induces entropy generation only at *second order* in anomalous correlations.<n>This entropy flow is accompanied by a rich non-Hermitian structure.<n>Our analysis establishes squeezed reservoirs as a natural setting where information-bearing noise drives irreversible behavior.
  arXiv  Detail & Related papers  (2025-11-24T19:49:30Z)
• Observation of non-Hermitian topology in cold Rydberg quantum gases [42.41909362660157]
  We experimentally demonstrate non-Hermitian spectra topology in a dissipative Rydberg atomic gas.<n>By increasing the interaction strength, the system evolves from Hermitian to non-Hermitian regime.<n>This work establishes cold Rydberg gases as a versatile platform for exploring the rich interplay between non-Hermitian topology, strong interactions, and dissipative quantum dynamics.
  arXiv  Detail & Related papers  (2025-09-30T13:44:43Z)
• Spin-only dynamics of the multi-species nonreciprocal Dicke model [0.0]
  Hepp-Lieb-Dicke model is ubiquitous in cavity quantum electrodynamics.<n>We study a variation of the open Dicke model which realizes mediated nonreciprocal interactions between spin species.<n>We find signatures of phase transitions even for small system sizes.
  arXiv  Detail & Related papers  (2025-07-10T17:41:46Z)
• Unveiling coherent dynamics in non-Markovian open quantum systems: exact expression and recursive perturbation expansion [44.99833362998488]
  We introduce a systematic framework to derive the effective Hamiltonian governing the coherent dynamics of non-Markovian open quantum systems.<n>Applying our framework to paradigmatic spin systems, we reveal how environmental correlations influence energy shifts and eigenbasis rotations.
  arXiv  Detail & Related papers  (2025-06-04T15:55:22Z)
• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays [41.94295877935867]
  In the noninteracting case, quantized Thouless pumps can only occur when a topological singularity is encircled adiabatically. In the presence of interactions, such topological transport can even persist for exotic paths in which the system gets arbitrarily close to the noninteracting singularity.
  arXiv  Detail & Related papers  (2024-02-14T16:58:21Z)
• Dynamics of inhomogeneous spin ensembles with all-to-all interactions: breaking permutational invariance [49.1574468325115]
  We investigate the consequences of introducing non-uniform initial conditions in the dynamics of spin ensembles characterized by all-to-all interactions. We find that the dynamics of the spin ensemble now spans a more expansive effective Hilbert space.
  arXiv  Detail & Related papers  (2023-09-19T16:44:14Z)
• Sufficient condition for gapless spin-boson Lindbladians, and its connection to dissipative time-crystals [64.76138964691705]
  We discuss a sufficient condition for gapless excitations in the Lindbladian master equation for collective spin-boson systems. We argue that gapless modes can lead to persistent dynamics in the spin observables with the possible formation of dissipative time-crystals.
  arXiv  Detail & Related papers  (2022-09-26T18:34:59Z)
• Fingerprint and universal Markovian closure of structured bosonic environments [53.869623568923515]
  We exploit the properties of chain mapping transformations of bosonic environments to identify a finite collection of modes able to capture the characteristic features, or fingerprint, of the environment. We show that the Markovian closure provides a quadratic speed-up with respect to standard chain mapping techniques.
  arXiv  Detail & Related papers  (2022-08-03T11:08:50Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.