Entangled system-and-environment dynamics: Phase-space dissipaton theory
arXiv:1912.00794 · doi:10.1063/1.5135776
Abstract
Dissipaton-equation-of-motion (DEOM) theory [Y. J. Yan, J. Chem. Phys. 140, 054105 (2014)] is an exact and nonperturbative many-particle method for open quantum systems. The existing dissipaton algebra treats also the dynamics of hybrid bath solvation coordinates. The dynamics of conjugate momentums remain to be addressed within the DEOM framework. In this work, we establish this missing ingredient, the dissipaton algebra on solvation momentums, with rigorous validations against necessary and sufficient criteria. The resulted phase-space DEOM theory will serve as a solid ground for further developments of various practical methods toward a broad range of applications. We illustrate this novel dissipaton algebra with the phase-space DEOM-evaluation on heat current fluctuation.
5 pages, 2 figures, Eq.(16) revised
References in corpus (6)
- Exact quantum master equation via the calculus on path integrals
- Dynamics of quantum dissipation systems interacting with bosonic canonical bath: Hierarchical equations of motion approach
- On the nature of heat in strongly coupled open quantum systems
- Rectification of heat currents across nonlinear quantum chains: A versatile approach beyond weak thermal contact
- Interfacial thermal transport with strong system-bath coupling: A phonon delocalization effect
- Currents and fluctuations of quantum heat transport in harmonic chains
Cited by in corpus (15)
- Quantum mechanics of open systems: Dissipaton theories
- Equilibrium and transient thermodynamics: A unified dissipaton-space approach
- Correlated vibration-solvent effects on the non-Condon exciton spectroscopy
- A statistical quasi-particles thermofield theory with Gaussian environments: System-bath entanglement theorem for nonequilibrium correlation functions
- 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
- Theoretical formulations on thermodynamics of quantum impurity systems
- Electron transfer under the Floquet modulation in donor-bridge-acceptor systems
- Quantum dissipation with nonlinear environment couplings: Stochastic fields dressed dissipaton equation of motion approach
- Mechanism of current noise spectrum in a nonequilibirum Kondo dot system
- Multimode Brownian oscillators: Exact solutions to heat transport
- Marcus' electron transfer rate revisited via a Rice-Ramsperger-Kassel-Marcus analogue: A unified formalism for linear and nonlinear solvation scenarios
- Phase-controlled quantum transport signatures in a quantum dot-Majorana hybrid ring system
- Correlated driving-and-dissipation equation for non-Condon spectroscopy with the Herzberg-Teller vibronic coupling