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Magnetic Tweezers for the Measurement of Twist and Torque

Magnetic Tweezers for the Measurement of Twist and Torque

Published on: May 19, 2014

Exact large-deviation statistics for a nonequilibrium quantum spin chain.

Marko Znidarič¹

¹Physics Department, Faculty of Mathematics and Physics, University of Ljubljana, SI-1000 Ljubljana, Slovenia.

Physical Review Letters

|March 4, 2014

Summary

This summary is machine-generated.

We studied a one-dimensional XX spin chain under nonequilibrium conditions. Our findings reveal phase transitions in current distribution and confirm fluctuation relations in this driven quantum system.

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Area of Science:

Quantum physics
Statistical mechanics
Condensed matter theory

Background:

Non-equilibrium quantum systems are crucial for understanding fundamental physics.
Spin chains provide a simplified yet powerful model for studying quantum phenomena.
Boundary driving introduces unique dynamics not found in equilibrium systems.

Purpose of the Study:

To investigate the nonequilibrium dynamics of a one-dimensional XX spin chain.
To characterize the current distribution and its statistical properties.
To identify and analyze phase transitions in driven quantum systems.

Main Methods:

Utilizing large-deviation rate functions in the thermodynamic limit.
Calculating the complete current distribution and its cumulants.
Analyzing boundary driving effects with Lindblad-type operators.

Main Results:

Derived closed-form expressions for current cumulants.
Identified two types of phase-transition-like behaviors in current distribution.
Confirmed the nonequilibrium fluctuation relation and symmetry under coupling strength mapping (Γ→1/Γ).

Conclusions:

The study provides a comprehensive understanding of nonequilibrium current in driven spin chains.
Discontinuous phase transitions in current distribution were observed.
The findings contribute to the broader understanding of fluctuation theorems in quantum systems.