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Updated: Jun 26, 2025
09:23
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
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Universal and nonuniversal probability laws in Markovian open quantum dynamics subject to generalized reset processes
Federico Carollo1, Igor Lesanovsky1,2,3, Juan P Garrahan2,3
1Institut für Theoretische Physik, Universität Tübingen, Auf der Morgenstelle 14, 72076 Tübingen, Germany.
Physical Review. E
|May 17, 2024
Summary
Quantum systems with state resets exhibit universal probability laws for trajectory observable orderings. This universality holds regardless of the observable or dynamics, extending classical findings to the quantum realm.
Area of Science:
- Quantum mechanics
- Statistical physics
- Open quantum systems
Background:
- Markovian open quantum systems evolve with continuous dissipation and noise.
- Stochastic resets introduce discrete events that alter system dynamics.
- Previous work identified universal laws in classical stochastic processes.
Purpose of the Study:
- To investigate quantum-jump trajectories in open quantum systems with state resets.
- To determine if universal probability laws emerge for trajectory observables.
- To extend findings from classical stochastic processes to the quantum domain.
Main Methods:
- Analysis of quantum-jump trajectories under stochastic state resets.
- Definition of random variables from trajectory observables within reset intervals.
- Derivation of probability laws for sequences of these random variables.
Main Results:
- A universal probability law governs the ordering of observables related to quantum state functions.
- This law is independent of the specific observable and, for Poissonian resets, the system dynamics.
- Universality is lost for discrete observables (quantum jump counts) unless specific conditions are met, such as a vanishing probability of identical outcomes.
Conclusions:
- The study establishes universal probability laws for quantum trajectories with state resets.
- Results generalize classical findings to quantum systems and state-dependent resets.
- Highlights conditions for the emergence of universality in quantum stochastic processes.
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