Thermalization of finite many-body systems by a collision model

Abstract

We construct a collision model description of the thermalization of a finite many-body system by using careful derivation of the corresponding Lindblad-type master equation in the weak coupling regime. Using the example of two level target system, we show that collision model thermalization is crucially dependent on the various relevant system and bath timescales and on ensuring that the environment is composed of ancillae which are resonant with the system transition frequencies. Using this we extend our analysis to show that our collision model can lead to thermalisation for certain classes of many-body systems. We establish that for classically correlated systems our approach is effective, while we also highlight its shortcomings, in particular with regards to reaching entangled thermal states.

References in corpus (28)

• Concepts and methods in the theory of open quantum systems
• Thermalizing Quantum Machines: Dissipation and Entanglement
• Reconciliation of quantum local master equations with thermodynamics
• Thermodynamical Control by Frequent Quantum Measurements
• Collision-model-based approach to non-Markovian quantum dynamics
• The thermodynamic cost of driving quantum systems by their boundaries
• Landauer's principle in multipartite open quantum system dynamics
• Collision model for non-Markovian quantum dynamics
• Composite quantum collision models
• Integrable field theory and critical phenomena. The Ising model in a magnetic field
• Quantum simulator of an open quantum system using superconducting qubits: exciton transport in photosynthetic complexes
• Non-Markovianity and System-Environment Correlations in a microscopic collision model
• Simulation of indivisible qubit channels in collision models
• System-environment correlations and Markovian embedding of quantum non-Markovian dynamics
• Implications of non-Markovian dynamics for the Landauer bound
• Multiatom Quantum Coherences in Micromasers as Fuel for Thermal and Nonthermal Machines
• Generalized master equations leading to completely positive dynamics
• On the uniqueness of the steady-state solution of the Lindblad-Gorini-Kossakowski-Sudarshan equation
• Non-Markovianity, coherence and system-environment correlations in a long-range collision model
• Nonequilibrium Dynamics with Finite-Time Repeated Interactions
• Entropy production and asymptotic factorization via thermalization: a collisional model approach
• Temperature control in dissipative cavities by entangled dimers
• Robust multipartite entanglement generation via a collision model
• Engineered thermalization and cooling of quantum many-body systems
• Thermal production, protection and heat exchange of quantum coherences
• Artificial quantum thermal bath: Engineering temperature for a many-body quantum system
• Stochastic thermodynamics of quantum maps with and without equilibrium
• Non-Markovian Toy Quantum Chain

Cited by in corpus (14)

• Collision models can efficiently simulate any multipartite Markovian quantum dynamics
• Collision models in open system dynamics: A versatile tool for deeper insights?
• Non-equilibrium steady-states of memoryless quantum collision models
• A brief journey through collision models for multipartite open quantum dynamics
• Few-qubit quantum refrigerator for cooling a multi-qubit system
• Efficient quantum algorithm to simulate open systems through a single environmental qubit
• Quantum homogenization in non-Markovian collisional model
• Transfer-tensor description of memory effects in open-system dynamics and multi-time statistics
• Witnessing non-Markovianity with Gaussian quantum steering in collision model
• Thermal state preparation by repeated interactions at and beyond the Lindblad limit
• A thermodynamic approach to optimization in complex quantum systems
• Unifying Collisional Models and the Monte Carlo Metropolis Method: Algorithms for Dynamics of Open Quantum Systems
• Toward Quantum Analog Simulation of Many-Body Supersymmetry with Rydberg Atom Arrays
• Environment-assisted modulation of heat flux in a bio-inspired system based on collision model