Breakdown of quantum-to-classical correspondence for diffusion in high temperature thermal environment
arXiv:2007.10738 · doi:10.1103/PhysRevResearch.3.013141
Abstract
We re-consider the old problem of Brownian motion in homogeneous high-temperature thermal environment. The semiclassical theory implies that the diffusion coefficient does not depend on whether the thermal fluctuations are correlated in space or disordered. We show that the corresponding quantum analysis exhibits a remarkable breakdown of quantum-to-classical correspondence. Explicit results are found for a tight binding model, within the framework of an Ohmic master equation, where we distinguish between on-site and on-bond dissipators. The breakdown is second-order in the inverse temperature, and therefore, on the quantitative side, involves an inherent ambiguity that is related to the Ohmic approximation scheme.
arXiv comment14 pages, 3 figures
References in corpus (24)
- Dephasing assisted transport: Quantum networks and biomolecules
- Environment-Assisted Quantum Transport
- Role of quantum coherence in chromophoric energy transport
- Nature does not rely on long-lived electronic quantum coherence for photosynthetic energy transfer
- Macroscopic coherence of a single exciton state in a polydiacetylene organic quantum wire
- Superabsorption of light via quantum engineering
- Coherent quantum transport in disordered systems I: The influence of dephasing on the transport properties and absorption spectra on one-dimensional systems
- Drift mobility of long-living excitons in coupled GaAs quantum wells
- Generic Mechanism of Optimal Energy Transfer Efficiency: A Scaling Theory of the Mean First Passage Time in Exciton Systems
- Superradiance Transition in Photosynthetic Light-Harvesting Complexes
- Quantum dissipation due to the interaction with chaotic degrees-of-freedom and the correspondence principle
- Classical Diffusion of a quantum particle in a noisy environment
- Quantum Dissipation versus Classical Dissipation for Generalized Brownian Motion
- Crossover from ballistic to diffusive thermal transport in quantum Langevin dynamics study of a harmonic chain connected to self-consistent reservoirs
- Unified Model for The Study of Diffusion Localization and Dissipation
- Design principles and fundamental trade-offs in biomimetic light harvesting
- Exactly solvable model of quantum diffusion
- Opening-Assisted Coherent Transport in the Deep Classical Regime
- The quantum Goldilocks effect: on the convergence of timescales in quantum transport
- Optimal Dephasing for Ballistic Energy Transfer in Disordered Linear Chains
- Diffractive energy spreading and its semiclassical limit
- Quantum stochastic transport along chains
- Lecture Notes in Statistical Mechanics and Mesoscopics
- The lognormal-like statistics of a stochastic squeeze process