Related Experiment Video
Updated: Oct 23, 2025
12:19
Measurement of Quantum Interference in a Silicon Ring Resonator Photon Source
Published on: April 4, 2017
8.6K
Symmetry-induced fluctuation relations in open quantum systems.
Stefano Marcantoni1,2, Carlos Pérez-Espigares3,4, Juan P Garrahan1,2
1School of Physics & Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom.
Physical Review. E
|August 20, 2021
Summary
This study presents a new method for quantum fluctuation relations in open quantum systems, using quantum jump trajectories without standard two-point measurements. This advances understanding of non-equilibrium quantum dynamics.
Area of Science:
- Quantum mechanics
- Statistical physics
- Non-equilibrium thermodynamics
Background:
- Quantum fluctuation relations are crucial for understanding non-equilibrium processes.
- Existing methods often rely on the two-point measurement scheme.
- Open quantum systems exhibit complex dynamics due to environmental interactions.
Purpose of the Study:
- To develop a general scheme for quantum fluctuation relations in open quantum systems.
- To generalize fluctuation relations beyond the standard two-point measurement approach.
- To provide a framework applicable to Markovian nonunitary dynamics.
Main Methods:
- Derivation of a general scheme for quantum fluctuation relations.
- Utilizing quantum jump trajectory unravelling for open quantum systems.
- Application of large deviation techniques, including the tilted ensemble and Doob transform.
- Analysis of Markovian nonunitary dynamics.
Main Results:
- A novel general scheme for quantum fluctuation relations in open quantum systems.
- Generalization of fluctuation relations to quantum systems from classical counterparts.
- Demonstration of the scheme's applicability without the two-point measurement scheme.
- Illustrative examples showcasing the features of the derived results.
Conclusions:
- The developed scheme offers a new perspective on fluctuation relations in open quantum systems.
- The findings extend the applicability of fluctuation relations to a broader range of quantum dynamics.
- This work contributes significantly to the understanding of non-equilibrium quantum phenomena.
Related Concept Videos
01:28Symmetry in Maxwell's Equations
3.7K
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
3.7K
01:04Oscillations about an Equilibrium Position
6.0K
Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so...
6.0K
01:21Properties of Fourier series II
313
Time scaling of signals is a crucial concept in signal processing that affects the Fourier series representation without altering its coefficients. The process modifies the fundamental frequency, thereby changing how the series represents the signal over time. This principle is essential in various applications, including audio and image processing, where signal manipulation is frequent. Understanding function symmetries is fundamental to simplifying the Fourier series.
A function f(t) is...
A function f(t) is...
313
01:02¹H NMR: Interpreting Distorted and Overlapping Signals
1.2K
Spin systems where the difference in chemical shifts of the coupled nuclei is greater than ten times J are called first-order spin systems. These nuclei are weakly coupled, and their chemical shifts and coupling constant can generally be estimated from the well-separated signals in the spectrum.
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...
1.2K
03:06The Pauli Exclusion Principle
56.4K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
56.4K
01:23Stability of Equilibrium Configuration
579
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
579