Unifying Collisional Models and the Monte Carlo Metropolis Method: Algorithms for Dynamics of Open Quantum Systems
arXiv:2403.00197 · doi:10.1103/PhysRevE.111.014115
Abstract
Classical systems placed in contact with a thermal bath will inevitably equilibrate to a thermal state at the bath temperature. The same is not generally true for open quantum systems, which place additional conditions on the structure of the bath and system-bath interaction if thermalization is to occur. Collisional models, or repeated interaction schemes, are a category of microscopic open quantum system models that have seen growing use in studying quantum thermalization, in which the bath is modeled as a large ensemble of identical ancilla systems that sequentially interact with the system. We demonstrate that, when each bath ancilla is prepared in a thermal state with a discrete spectrum that matches the energy eigenstate transitions of the system, the system dynamics generated by the collisional model framework are identical to those generated under the Metropolis algorithm. This equivalence holds not just in the steady state regime, but also in the transient regime. As the Metropolis scheme does not require explicitly modeling the system-bath interaction, this allows it to be used as a computationally efficient alternative for simulating collisional model dynamics.
arXiv comment10 pages, 7 figures
References in corpus (47)
- The Quantum Jump Approach to Dissipative Dynamics in Quantum Optics
- Quantum trajectories and open many-body quantum systems
- Computational Studies of Quantum Spin Systems
- Stochastic wave function method for non-Markovian quantum master equations
- Thermalizing Quantum Machines: Dissipation and Entanglement
- Quantum Metropolis Sampling
- Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
- Quantum collision models: open system dynamics from repeated interactions
- Reconciliation of quantum local master equations with thermodynamics
- The problem of equilibration and the computation of correlation functions on a quantum computer
- Collision-model-based approach to non-Markovian quantum dynamics
- The thermodynamic cost of driving quantum systems by their boundaries
- Thermodynamics of weakly coherent collisional models
- Landauer's principle in multipartite open quantum system dynamics
- Collision model for non-Markovian quantum dynamics
- An introduction to Monte Carlo methods
- Collisional quantum thermometry
- Experimental observation of weak non-Markovianity
- Collision models can efficiently simulate any multipartite Markovian quantum dynamics
- Non-Markovianity and System-Environment Correlations in a microscopic collision model
- Collision models in quantum optics
- Implications of non-Markovian dynamics for the Landauer bound
- Lindblad and non--Lindblad type dynamics of a quantum Brownian particle
- Environmental correlations and Markovian to non-Markovian transitions in collisional models
- Collective performance of a finite-time quantum Otto cycle
- Non-equilibrium steady-states of memoryless quantum collision models
- Nonequilibrium Dynamics with Finite-Time Repeated Interactions
- A quantum enhanced finite-time Otto cycle
- Quantum synchronization in a collision model
- Collisional unfolding of quantum Darwinism
- Engineered thermalization and cooling of quantum many-body systems
- Decoherence without entanglement and Quantum Darwinism
- Stochastic thermodynamics of quantum maps with and without equilibrium
- Non-local updates for quantum Monte Carlo simulations
- Thermalization of finite many-body systems by a collision model
- Metropolis Methods for Quantum Monte Carlo Simulations
- Thermalization induced by quantum scattering
- Memory kernel and divisibility of Gaussian Collisional Models
- Quantum non-stationary phenomena of spin systems in collision models
- Information scrambling in a collision model
- Quantum kinetic Ising models
- Thermalization and dephasing in collisional reservoirs
- Quantum homogenization in non-Markovian collisional model
- Dissipation induced information scrambling in a collision model
- Collisional open quantum dynamics with a generally correlated environment: Exact solvability in tensor networks
- Repeated interaction processes in the continuous-time limit, applied to quadratic fermionic systems
- Scaling of non-Markovian Monte Carlo wave-function methods