A statistical quasi-particles thermofield theory with Gaussian environments: System-bath entanglement theorem for nonequilibrium correlation functions

Abstract

For open quantum systems, the Gaussian environmental dissipative effect can be represented by statistical quasi-particles, namely, dissipatons. We exploit this fact to establish the dissipaton thermofield theory. The resulting generalized Langevin dynamics of absorptive and emissive thermofield operators are effectively noise-resolved. The system-bath entanglement theorem is then readily followed between an important class of nonequilibrium steady-state correlation functions. All these relations are validated numerically. A simple corollary is the transport current expression, which exactly recovers the result obtained from the nonequilibrium Green's function formalism.

2 figures

References in corpus (7)

• Non-perturbative treatment of non-Markovian dynamics of open quantum systems
• Berry-Phase induced Heat Pumping and its Impact on the Fluctuation Theorem
• Dynamics of quantum dissipation systems interacting with bosonic canonical bath: Hierarchical equations of motion approach
• Experimental noise filtering by quantum control
• Universal Prony fitting decomposition for optimized hierarchical quantum master equations
• Entangled system-and-environment dynamics: Phase-space dissipaton theory
• System-bath entanglement theorem with Gaussian environments

Cited by in corpus (7)

• Quantum mechanics of open systems: Dissipaton theories
• Towards Quantum Simulation of Non-Markovian Open Quantum Dynamics: A Universal and Compact Theory
• Heat Current in Non-Markovian Open Systems
• Open quantum systems with nonlinear environmental backactions: Extended dissipaton theory versus core-system hierarchy construction
• Dissipatons as generalized Brownian particles for open quantum systems: Dissipaton-embedded quantum master equation
• Multimode Brownian oscillators: Exact solutions to heat transport
• Input-Output Hierarchical Equations Of Motion