AI summary · arXiv: 2401.11933v1 · cond-mat.stat-mech
Large deviation full counting statistics in adiabatic open quantum dynamics
The essentials
- Study investigates behavior of open quantum systems undergoing adiabatic processes
- Focus on understanding average dynamics and fluctuations in dynamical observables
- State of open quantum system during adiabatic process follows instantaneous stationary state of time-dependent generator
- To study fluctuations, need to control entire spectrum of generator, not just its stationary state
- Researchers use tools from large deviation theory to obtain information about fluctuations in adiabatic open quantum dynamics
- Introduce adiabatic theorem for deformed generators to encode full counting statistics of time-integrated dynamical observables in biased quantum state
- Capture average behavior, rare events, and atypical time-histories of observables
- Compute probabilities associated with arbitrary "rare" time-histories of observables and derive dynamics that realize these behaviors
- Approach allows characterization and engineering of adiabatic open quantum dynamics while controlling fluctuations
- Provides valuable insights into understanding and manipulating adiabatic open quantum systems beyond average behavior
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