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Related Experiment Video

Updated: May 18, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

PT-symmetric quantum Liouvillean dynamics.

Tomaž Prosen1

  • 1Department of Physics, FMF, University of Ljubljana, Ljubljana, Slovenia.

Physical Review Letters
|September 26, 2012
PubMed
Summary

We explore the interplay of unitary and antiunitary symmetries in open quantum systems, revealing a D2 symmetry in the quantum Liouvillean spectrum. This symmetry leads to uniform decay rates for coherences in weakly coupled systems, demonstrated using spin chains.

Area of Science:

  • Quantum mechanics
  • Open quantum systems
  • Condensed matter physics

Background:

  • Quantum Liouvillean dynamics describe the time evolution of open quantum systems.
  • Symmetries play a crucial role in understanding quantum phenomena.
  • Coherences in a quantum system relate to off-diagonal elements of its density matrix.

Purpose of the Study:

  • To investigate the implications of combined unitary and antiunitary symmetry on quantum Liouvillean dynamics.
  • To analyze the resulting symmetry of the complex Liouvillean spectrum.
  • To examine the decay rates of coherences in open quantum systems under weak system-bath coupling.

Main Methods:

  • Analysis of unitary and antiunitary symmetry in quantum Liouvillean dynamics.
  • Derivation of the D2 symmetry of the complex Liouvillean spectrum.

Related Experiment Videos

Last Updated: May 18, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

  • Investigation of system-bath coupling effects on coherence decay.
  • Application to symmetrically boundary-driven open XXZ spin 1/2 chains.

    • Main Results:

    • A combination of unitary and antiunitary symmetry leads to a D2 symmetry of the complex Liouvillean spectrum.
    • For weak system-bath coupling, a uniform decay rate for all coherences is implied.
    • This uniform decay was exemplified in open XXZ spin 1/2 chains.

    Conclusions:

    • The D2 symmetry of the Liouvillean spectrum is a key consequence of combined unitary-antiunitary symmetry.
    • Weak coupling simplifies coherence decay dynamics in open quantum systems.
    • The findings provide insights into the behavior of open quantum spin chains.