Nonequilibrium dynamics of spin-boson models from phase space methods
arXiv:1705.06203 · doi:10.1103/PhysRevA.96.033607
Abstract
An accurate description of the nonequilibrium dynamics of systems with coupled spin and bosonic degrees of freedom remains theoretically challenging, especially for large system sizes and in higher than one dimension. Phase space methods such as the Truncated Wigner Approximation (TWA) have the advantage of being easily scalable and applicable to arbitrary dimensions. In this work we adapt the TWA to generic spin-boson models by making use of recently developed algorithms for discrete phase spaces [Schachenmayer, PRX 5, 011022 (2015)]. Furthermore we go beyond the standard TWA approximation by applying a scheme based on the Bogoliubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy of equations [Pucci, PRB 93, 174302 (2016)] to our coupled spin-boson model. This allows in principle to study how systematically adding higher order corrections improves the convergence of the method. To test various levels of approximation we study an exactly solvable spin-boson model which is particularly relevant for trapped-ion arrays. Using TWA and its BBGKY extension we accurately reproduce the time evolution of a number of one- and two-point correlation functions in several dimensions and for arbitrary number of bosonic modes.
10+5 pages, 5 figures
References in corpus (26)
- Quantum computation with ions in thermal motion
- Cold atoms in cavity-generated dynamical optical potentials
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- Effective quantum spin systems with ion traps
- Non-local propagation of correlations in long-range interacting quantum systems
- Phase space representation of quantum dynamics
- Quantum spin dynamics and entanglement generation with hundreds of trapped ions
- Implementation of Cavity Squeezing of a Collective Atomic Spin
- Dynamics and statistical mechanics of ultra-cold Bose gases using c-field techniques
- Classical decay of inflaton
- Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes
- Many-Body Quantum Spin Dynamics with Monte Carlo Trajectories on a Discrete Phase Space
- Classical aspects of quantum fields far from equilibrium
- Mesoscopic Spin-Boson Models of Trapped Ions
- Quantum versus classical statistical dynamics of an ultracold Bose gas
- Non-adiabacity and large flucutations in a many particle Landau Zener problem
- 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
- SU(3) semiclassical representation of quantum dynamics of interacting spins
- Simulation of Quantum Spin Dynamics by Phase Space Sampling of BBGKY Trajectories
- Numerically exact solution of the many emitter -- cavity laser problem: application to the fully quantized spaser emission
- Quantum annealing for the number partitioning problem using a tunable spin glass of ions
- Boson-mediated quantum spin simulators in transverse fields: XY model and spin-boson entanglement
- Semiclassical approach to Dynamics of Interacting Fermions
- Quantum effects in the cooperative scattering of light by atomic clouds
- Exact calculation of phonon effects on spin squeezing
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- Photoinduced prethermal order parameter dynamics in the two-dimensional large- Hubbard-Heisenberg model
- Open quantum dynamics with variational non-Gaussian states and the truncated Wigner approximation
- Cluster truncated Wigner approximation for bond-disordered Heisenberg spin models
- Two-dimensional correlation propagation dynamics with a cluster discrete phase-space method
- Discrete-phase-space method for driven-dissipative dynamics of strongly interacting bosons in optical lattices
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- Phase-Space Methods for Many-Body Quantum Optics
- Semi-Classical Discretization and Long-Time Evolution of Variable Spin Systems