Quantum mechanics of open systems: Dissipaton theories

• URL: http://arxiv.org/abs/2211.08853v1
• Date: Wed, 16 Nov 2022 11:55:47 GMT
• Title: Quantum mechanics of open systems: Dissipaton theories
• Authors: Yao Wang and YiJing Yan
• Abstract summary: This Perspective presents a comprehensive account of the dissipaton theories developed in our group since 2014. The dissipaton-equation-of-motion-space (DEOM-space) formulations cover the Schr"odinger picture, the Heisenberg picture, and further the imaginary-time DEOM. It is anticipated that dissipaton theories would remain essential towards a maturation of quantum mechanics of open systems.
• Score: 7.4471520922015895
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 Schr\"odinger 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.

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