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Related Experiment Video

Updated: Sep 13, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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Published on: May 30, 2014

Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians.

Pablo Martinez-Azcona¹, Aritra Kundu¹, Avadh Saxena²

¹University of Luxembourg, Department of Physics and Materials Science, L-1511 Luxembourg.

Physical Review Letters

|July 31, 2025

Summary

Stochastic noise in quantum systems with fluctuating gains and losses can be controlled. This noise allows for stabilizing lossy states and purifying quantum states into diverse steady states.

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Area of Science:

Quantum dynamics
Non-Hermitian Hamiltonians
Stochastic processes

Background:

Quantum systems often experience dissipation and fluctuating environments.
Non-Hermitian Hamiltonians describe open quantum systems with gains and losses.
Stochastic perturbations add complexity to quantum state evolution.

Purpose of the Study:

To investigate quantum dynamics under stochastic perturbations in the anti-Hermitian part of a Hamiltonian.
To analyze the effects of fluctuating gains and losses on quantum state evolution and purity.
To explore the control possibilities offered by noise in open quantum systems.

Main Methods:

Modeling quantum dynamics with a non-Hermitian Hamiltonian and stochastic perturbations.
Deriving an "antidephasing" master equation to describe noise-averaged dynamics.
Analyzing state evolution and purity.
Illustrating findings using a stochastic dissipative qubit model.

Main Results:

Stochastic perturbations lead to an "antidephasing" master equation.
Noise enables rich control over quantum dynamics.
The lossy state can be stabilized by adding noise.
State purification becomes possible to a wider range of steady states.

Conclusions:

Stochastic noise offers a powerful tool for controlling open quantum systems.
Noise-induced effects can lead to novel phenomena like enhanced state purification.
The findings are relevant for quantum information processing and quantum control.