Related Experiment Video
Updated: Jul 5, 2025
09:23
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
14.5K
Semi-Markov processes in open quantum systems. II. Counting statistics with resetting.
1School of Physics, Beihang University, Beijing 100083, China.
Physical Review. E
|January 20, 2024
Summary
This study extends semi-Markov processes for open quantum systems to include resetting. New methods allow calculating quantum counting statistics even with resets and collapses, using survival distributions instead of quantum operators.
Area of Science:
- Quantum Physics
- Statistical Mechanics
- Quantum Optics
Background:
- Open quantum systems are typically analyzed using semi-Markov processes for counting statistics.
- The introduction of resetting phenomena complicates standard analysis due to non-Markovian behavior.
Purpose of the Study:
- To extend existing semi-Markov process methods for quantum counting statistics to systems with resetting.
- To develop a framework for calculating general counting statistics in open quantum systems subject to simultaneous resets and wave function collapses.
Main Methods:
- Extension of semi-Markov process to include resetting.
- Focus on quantum jump trajectories and probability formulas to construct statistics from reset-free data.
- Derivation of an exact tilted matrix equation.
- Introduction of a continuous-time cloning algorithm for simulating large-deviation properties.
Main Results:
- Quantum jump trajectories in resetting systems with collapses are no longer semi-Markov.
- General counting statistics can be constructed from reset-free statistics using trajectory analysis and probability formulas.
- Survival and waiting-time distributions serve as inputs, replacing quantum operators.
- The continuous-time cloning algorithm effectively simulates large-deviation properties.
Conclusions:
- The developed methods provide a robust way to analyze counting statistics in open quantum systems with resetting.
- The approach simplifies calculations by utilizing survival and waiting-time distributions.
- The study offers a new simulation tool for large-deviation properties in quantum systems.
Related Concept Videos
01:25Deactivation Processes: Jablonski Diagram
666
Luminescence, the emission of light by a substance that has absorbed energy, is a process that involves the interaction of molecules with light. The energy-level diagram, or Jablonski diagram, is a graphical representation of these interactions, illustrating the various states and transitions a molecule can undergo. In a typical Jablonski diagram, the lowest horizontal line represents the ground-state energy of the molecule, which is usually a singlet state. This state represents the energies...
666
01:23Atomic Nuclei: Nuclear Relaxation Processes
655
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis, the precessing magnetic moments are randomly oriented around the z-axis.
655
02:45The Quantum-Mechanical Model of an Atom
42.3K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
42.3K
01:10Entropy Change in Reversible Processes
2.5K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.5K
01:14Reversible and Irreversible Processes
4.2K
The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
4.2K
01:28Atomic Nuclei: Types of Nuclear Relaxation
303
Nuclear relaxation restores the equilibrium population imbalance and can occur via spin–lattice or spin–spin mechanisms, which are first-order exponential decay processes.
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers...
In spin–lattice or longitudinal relaxation, the excited spins exchange energy with the surrounding lattice as they return to the lower energy level. Among several mechanisms that contribute to spin–lattice relaxation, magnetic dipolar interactions are significant. Here, the excited nucleus transfers...
303