Open quantum dynamics with variational non-Gaussian states and the truncated Wigner approximation
arXiv:2407.02617 · doi:10.1063/5.0226268
Abstract
We present a framework for simulating the open dynamics of spin-boson systems by combining variational non-Gaussian states with a quantum trajectories approach. We apply this method to a generic spin-boson Hamiltonian that has both Tavis-Cummings and Holstein type couplings, and which has broad applications to a variety of quantum simulation platforms, polaritonic physics, and quantum chemistry. Additionally, we discuss how the recently developed truncated Wigner approximation for open quantum systems can be applied to the same Hamiltonian. We benchmark the performance of both methods and identify the regimes where each method is best suited to. Finally we discuss strategies to improve each technique.
21+3 pages, 12+2 figures. Final version
References in corpus (54)
- Quantum Computing in the NISQ era and beyond
- The density-matrix renormalization group in the age of matrix product states
- Real time evolution using the density matrix renormalization group
- Quantum trajectories and open many-body quantum systems
- Theory of variational quantum simulation
- Quantum harmonic oscillator state synthesis by reservoir engineering
- Many-Body Quantum Spin Dynamics with Monte Carlo Trajectories on a Discrete Phase Space
- Transient dynamics of the Anderson impurity model out of equilibrium
- Tensor network simulation of non-Markovian dynamics in organic polaritons
- Localization phenomena in interacting Rydberg lattice gases with position disorder
- Spin-motion entanglement and state diagnosis with squeezed oscillator wavepackets
- Swinging between shine and shadow: Theoretical advances on thermally-activated vibropolaritonic chemistry (a perspective)
- Geometry of variational methods: dynamics of closed quantum systems
- Quantum-enhanced sensing on an optical transition via emergent collective quantum correlations
- Spin squeezing with short-range spin-exchange interactions
- A generalized multi-polaron expansion for the spin-boson model: Environmental entanglement and the biased two-state system
- Exploring out-of-equilibrium quantum magnetism and thermalization in a spin-3 many-body dipolar lattice system
- Direct observation of geometric phase in dynamics around a conical intersection
- Cluster Truncated Wigner Approximation in Strongly Interacting Systems
- Dynamics of correlations in two-dimensional quantum spin models with long-range interactions: A phase-space Monte-Carlo study
- Simulating generic spin-boson models with matrix product states
- A generalized phase space approach for solving quantum spin dynamics
- Disorder enhanced vibrational entanglement and dynamics in polaritonic chemistry
- Nonequilibrium dynamics of spin-boson models from phase space methods
- Nonequilibrium, spatio-temporal formation of the Kondo screening-cloud on a lattice
- Entanglement-Optimal Trajectories of Many-Body Quantum Markov Processes
- The Hidden Phase of the Spin-Boson Model
- Quantum Rydberg Central Spin Model
- Realistic simulations of spin squeezing and cooperative coupling effects in large ensembles of interacting two-level systems
- Cold chemistry: a few-body perspective on impurity physics of a single ion in an ultracold bath
- From Efimov Physics to the Bose Polaron using Gaussian States
- Ground state properties of sub-Ohmic spin-boson model with simultaneous diagonal and off-diagonal coupling
- Phase-Space Methods for Simulating the Dissipative Many-Body Dynamics of Collective Spin Systems
- Symmetry and the critical phase of the two-bath spin-boson model: Ground-state properties
- Driven-dissipative criticality within the discrete truncated Wigner approximation
- Exact resummation of the Holstein-Primakoff expansion and differential equation approach to operator square-roots
- Hybrid discrete-continuous truncated Wigner approximation for driven, dissipative spin systems
- Collective Radiative Interactions in the Discrete Truncated Wigner Approximation
- Thermalization and chaos in a 1+1d QFT
- Hubbard Models for Quasicrystalline Potentials
- False vacuum decay in the 1+1 dimensional theory
- Chemistry of a light impurity in a Bose-Einstein condensate
- Comparing bipartite entropy growth in open-system matrix-product simulation methods
- Problem-free time-dependent variational principle for open quantum systems
- Spin-motion coupling in a circular Rydberg state quantum simulator: case of two atoms
- Spin-Holstein models in trapped-ion systems
- Performance evaluation of the discrete truncated Wigner approximation for quench dynamics of quantum spin systems with long-range interactions
- Simulation of quantum optics by coherent state decomposition
- Dynamics of the spin-boson model: the effect of bath initial conditions
- Efficient variational approach to dynamics of a spatially extended bosonic Kondo model
- Validating phase-space methods with tensor networks in two-dimensional spin models with power-law interactions
- Study of the long-range transverse field Ising model with fermionic Gaussian states
- Bootstrapping 2d Theory with Hamiltonian Truncation Data
- Fast quantum state preparation and bath dynamics using non-Gaussian variational ansatz and quantum optimal control