Quantum mechanics of open systems: Dissipaton theories

Abstract

This Perspective presents a comprehensive account of the dissipaton theories developed in our group since 2014, including the physical picture of dissipatons and the phase-space dissipaton algebra. The dissipaton-equation-of-motion-space (DEOM-space) formulations cover the Schrödinger picture, the Heisenberg picture, and further the imaginary-time DEOM. Recently developed are also the dissipaton theories for studying equilibrium and nonequilibrium thermodynamic mixing processes. The Jarzynski equality and Crooks relation are accurately reproduced numerically. It is anticipated that dissipaton theories would remain essential towards a maturation of quantum mechanics of open systems.

Review and perspective, 12 pages, 3 figures

References in corpus (16)

• Fluctuation theorems: Work is not an observable
• Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
• Hierarchical Liouville-space approach for accurate and universal characterization of quantum impurity systems
• Dynamics of quantum dissipation systems interacting with bosonic canonical bath: Hierarchical equations of motion approach
• Heavy quark master equations in the Lindblad form at high temperatures
• Universal Prony fitting decomposition for optimized hierarchical quantum master equations
• Hierarchical equations of motion approach to hybrid fermionic and bosonic environments: Matrix product state formulation in twin space
• Effects of Herzberg--Teller vibronic coupling on coherent excitation energy transfer
• Entangled system-and-environment dynamics: Phase-space dissipaton theory
• Quantum free energy differences from non-equilibrium path integrals: II. Convergence properties for the harmonic oscillator
• Quantum free energy differences from non-equilibrium path integrals: I. Methods and numerical application
• Correlated vibration-solvent effects on the non-Condon exciton spectroscopy
• System-bath entanglement theorem with Gaussian environments
• Nonequilibrium work distributions in quantum impurity system-bath mixing processes
• Open Quantum Dynamics Theory for Non-Equilibrium Work: Hierarchical Equations of Motion Approach
• Electron transfer under the Floquet modulation in donor-bridge-acceptor systems

Cited by in corpus (17)

• Non-Markovian Quantum Exceptional Points
• Non-Hermitian Pseudomodes for Strongly Coupled Open Quantum Systems: Unravelings, Correlations and Thermodynamics
• Towards Quantum Simulation of Non-Markovian Open Quantum Dynamics: A Universal and Compact Theory
• Simulating Non-Markovian Quantum Dynamics on NISQ Computers Using the Hierarchical Equations of Motion
• Nonadiabatic Field: A Conceptually Novel Approach for Nonadiabatic Quantum Molecular Dynamics
• Extended dissipaton equation of motion for electronic open quantum systems: Application to the Kondo impurity model
• 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
• Charge transport limited by nonlocal electron-phonon interaction. II. Numerically exact quantum dynamics in the slow-phonon regime
• Charge transport limited by nonlocal electron-phonon interaction. I. Hierarchical equations of motion approach
• Memory effect preserved time-local approach to noise spectrum of transport current
• Correlated vibration-solvent and Duschinsky effects on electron transfer dynamics and optical spectroscopy
• Universal Structure of Computing Moments for Exact Quantum Dynamics: Application to Arbitrary System-Bath Couplings
• Numerically "exact" charge transport dynamics in a dissipative electron-phonon model rationalizing the success of the transient localization scenario
• Input-Output Hierarchical Equations Of Motion
• Generalized quantum master equation from memory kernel coupling theory
• Purified pseudomode model for nonlinear system-bath interactions