Quantum non-stationary phenomena of spin systems in collision models

Abstract

We investigate the non-stationary phenomenon in a tripartite spin-1/2 system in the collision model (CM) framework. After introducing the dissipation through the system-environment collision for both Markovian and non-Markovian cases, we find the emergence of long-time oscillation in the dynamics of the system and the synchronization among subsystems. We connect the CM description and the quantum master equation in the continuous time limit and explain the existence of the stable oscillation by means of Liouvillian spectrum analysis. The time-dependence of the thermal property and the correlations are investigated, in particular we discuss the possibility of violation of the Landauer's principle in non-Markovian dynamics. In addition, we find that the imperfection of collective dissipation can be compensated by the randomness of the interaction sequence in our CM.

13 pages, 8 figures, accepted version

References in corpus (21)

• Dissipative Phase Transition in Central Spin Systems
• Collision-model-based approach to non-Markovian quantum dynamics
• Bringing entanglement to the high temperature limit
• Mutual information as an order parameter for quantum synchronization
• Dissipative Phase Transition in the Open Quantum Rabi Model
• Composite quantum collision models
• Synchronization and bistability of qubit coupled to a driven dissipative oscillator
• Implications of non-Markovian dynamics for the Landauer bound
• Quantum synchronization and entanglement of two qubits coupled to a driven dissipative resonator
• All-optical non-Markovian stroboscopic quantum simulator
• Quantum simulation of dissipative collective effects on noisy quantum computers
• Dissipative phase transitions: Independent versus collective decay and spin squeezing
• Observation of quantum phase-synchronization in a nuclear spin-system
• A brief journey through collision models for multipartite open quantum dynamics
• Universality of spectra for interacting quantum chaotic systems
• Dynamical and quantum effects of collective dissipation in optomechanical systems
• Periodically refreshed quantum thermal machines
• Dissipation induced information scrambling in a collision model
• Collisional open quantum dynamics with a generally correlated environment: Exact solvability in tensor networks
• Localization-delocalization effects of a delocalizing dissipation on disordered XXZ spin chains
• Dissipative quantum dynamics, phase transitions and non-Hermitian random matrices

Cited by in corpus (12)

• Quantum Origin of Limit Cycles, Fixed Points, and Critical Slowing Down
• Accelerating Relaxation Dynamics in Open Quantum System with Liouvillian Skin Effect
• Quantum thermodynamics of boundary time-crystals
• Impact of non-Markovian evolution on characterizations of quantum thermodynamics
• Structured quantum collision models: generating coherence with thermal resources
• Emergent Continuous Time Crystal in Dissipative Quantum Spin System without Driving
• Predicting the Onset of Quantum Synchronization Using Machine Learning
• Witnessing non-Markovianity with Gaussian quantum steering in collision model
• The time crystal phase emerges from the qubit network under unitary random operations
• Quantum synchronization in an all-optical stroboscopic quantum simulator
• Unifying Collisional Models and the Monte Carlo Metropolis Method: Algorithms for Dynamics of Open Quantum Systems
• Superradiant scattering of massive scalar field due to magnetically charged rotating black hole