Unifying Collisional Models and the Monte Carlo Metropolis Method: Algorithms for Dynamics of Open Quantum Systems

• URL: http://arxiv.org/abs/2403.00197v1
• Date: Fri, 1 Mar 2024 00:01:22 GMT
• Title: Unifying Collisional Models and the Monte Carlo Metropolis Method: Algorithms for Dynamics of Open Quantum Systems
• Authors: Nathan M. Myers, Hrushikesh Sable, and Vito W. Scarola
• Abstract summary: Collisional models are a category of microscopic open quantum system models that have seen growing use in studying quantum thermalization. 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

Related papers

• Thermodynamic Roles of Quantum Environments: From Heat Baths to Work Reservoirs [49.1574468325115]
  Environments in quantum thermodynamics usually take the role of heat baths. We show that within the same model, the environment can take three different thermodynamic roles. The exact role of the environment is determined by the strength and structure of the coupling.
  arXiv  Detail & Related papers  (2024-08-01T15:39:06Z)
• Dynamics of a small quantum system open to a bath with thermostat [0.0]
  We investigate dynamics of a small quantum system open to a bath with thermostat. We introduce another bath, called super bath, weakly coupled with the bath to provide it with thermostat. We find steady state does not depend on thermostat, but time-dependent state does, that agrees with common expectation.
  arXiv  Detail & Related papers  (2024-04-23T23:45:56Z)
• Open-system eigenstate thermalization in a noninteracting integrable model [0.0]
  We argue that even in fully integrable models, the system observables exhibit thermalization when the system-bath setup is in a typical eigenstate of its Hamiltonian. Our findings suggest that chaos and nonintegrability are not the sole drivers of thermalization.
  arXiv  Detail & Related papers  (2024-04-17T13:16:42Z)
• Non-Hermitian Pseudomodes for Strongly Coupled Open Quantum Systems: Unravelings, Correlations and Thermodynamics [0.0]
  Pseudomode framework provides an exact description of the dynamics of an open quantum system coupled to a non-Markovian environment. We show that our approach decreases the number of pseudomodes that are required to model, for example, underdamped environments at finite temperature.
  arXiv  Detail & Related papers  (2024-01-22T10:41:43Z)
• Structured quantum collision models: generating coherence with thermal resources [0.0]
  In this work we represent each ancillary system as a structured system. We show how this scenario modifies the kind of master equation that one can obtain for the evolution of the open systems. Thanks to the simplicity of the collision model, this allows us to better understand the thermodynamic cost of creating coherence in a system.
  arXiv  Detail & Related papers  (2023-07-14T16:43:46Z)
• Emergence of fluctuating hydrodynamics in chaotic quantum systems [47.187609203210705]
  macroscopic fluctuation theory (MFT) was recently developed to model the hydrodynamics of fluctuations. We perform large-scale quantum simulations that monitor the full counting statistics of particle-number fluctuations in boson ladders. Our results suggest that large-scale fluctuations of isolated quantum systems display emergent hydrodynamic behavior.
  arXiv  Detail & Related papers  (2023-06-20T11:26:30Z)
• Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
  We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it. We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
  arXiv  Detail & Related papers  (2023-06-16T16:41:16Z)
• Efficient simulation of open quantum systems coupled to a reservoir through multiple channels [4.106703080056981]
  We use the chain mapping strategy in the interaction picture to study systems linearly coupled to a harmonic bath through multiple channels. We simulate singlet fission using a generalized spin-boson Hamiltonian. This approach generalizes the chain mapping scheme to the case of multi-channel system-bath couplings.
  arXiv  Detail & Related papers  (2022-12-12T18:16:01Z)
• Floquet-heating-induced Bose condensation in a scar-like mode of an open driven optical-lattice system [62.997667081978825]
  We show that the interplay of bath-induced dissipation and controlled Floquet heating can give rise to non-equilibrium Bose condensation. Our predictions are based on a microscopic model that is solved using kinetic equations of motion derived from Floquet-Born-Markov theory.
  arXiv  Detail & Related papers  (2022-04-14T17:56:03Z)
• Fast Thermalization from the Eigenstate Thermalization Hypothesis [69.68937033275746]
  Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems. This paper establishes a rigorous link between ETH and fast thermalization to the global Gibbs state. Our results explain finite-time thermalization in chaotic open quantum systems.
  arXiv  Detail & Related papers  (2021-12-14T18:48:31Z)
• Quantum Markov Chain Monte Carlo with Digital Dissipative Dynamics on Quantum Computers [52.77024349608834]
  We develop a digital quantum algorithm that simulates interaction with an environment using a small number of ancilla qubits. We evaluate the algorithm by simulating thermal states of the transverse Ising model.
  arXiv  Detail & Related papers  (2021-03-04T18:21:00Z)

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.