Quantum dissipation with nonlinear environment couplings: Stochastic fields dressed dissipaton equation of motion approach
arXiv:2108.10013 · doi:10.1063/5.0067880
Abstract
Accurate and efficient simulation on quantum dissipation with nonlinear environment couplings remains nowadays a challenging task. In this work, we propose to incorporate the stochastic fields, which resolve just the nonlinear environment coupling terms, into the dissipaton-equation-of-motion (DEOM) construction. The stochastic fields are introduced via the Hubbard-Stratonovich transformation. After the transformation, the resulted stochastic-fields-dressed total Hamiltonian contains only linear environment coupling terms. On basis of that, a stochastic-fields-dressed DEOM (SFD-DEOM) can then be constructed. The resultant SFD-DEOM, together with the ensemble average over the stochastic fields, constitutes an exact and nonperturbative approach to quantum dissipation under nonlinear environment couplings. It is also of relatively high efficiency and stability due to the fact that only nonlinear environment coupling terms are dealt with stochastic fields while linear couplings are still treated as the usual DEOM. Numerical demonstrations are carried out on a two-state model system.
arXiv comment7 pages, 5 figures (including 1 multimedia)
References in corpus (13)
- Manipulating the Quantum State of an Electrical Circuit
- Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
- Dephasing of a superconducting qubit induced by photon noise
- Exact quantum master equation via the calculus on path integrals
- Dephasing in Quantum Dots: Quadratic Coupling to Acoustic Phonons
- Dephasing of solid-state qubits at optimal points
- A Unified Stochastic Formulation of Dissipative Quantum Dynamics. II. Beyond Linear Response of Spin Baths
- Fluctuation-Dissipation Relation from the Nonequilibrium Dynamics of a Nonlinear Open Quantum System
- Entangled system-and-environment dynamics: Phase-space dissipaton theory
- Theory of quantum dissipation in a class of non-Gaussian environments
- Correlated vibration-solvent effects on the non-Condon exciton spectroscopy
- Nonequilibrium Nonlinear Open Quantum Systems I. Functional Perturbative Analysis of a Weakly Anharmonic Oscillator
- Marcus' electron transfer rate revisited via a Rice-Ramsperger-Kassel-Marcus analogue: A unified formalism for linear and nonlinear solvation scenarios