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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Energy dynamics in a generalized compass chain.

Yu-Cheng Qiu1, Qing-Qiu Wu, Wen-Long You

  • 1College of Physics, Optoelectronics and Energy, Soochow University, Suzhou, Jiangsu 215006, People's Republic of China.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|October 18, 2016
PubMed
Summary
This summary is machine-generated.

Energy current is conserved in a quantum compass model due to symmetries, but this conservation is broken by complex interactions like Dzyaloshinskii-Moriya interactions under a magnetic field.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Magnetism
  • Statistical Mechanics

Background:

  • Quantum compass models are crucial for understanding complex magnetic phenomena.
  • Investigating energy dynamics reveals fundamental properties of quantum systems.
  • External magnetic fields significantly alter spin interactions and system behavior.

Purpose of the Study:

  • To analyze the energy dynamics in a generalized compass chain under an external magnetic field.
  • To understand the role of three-site interactions and Dzyaloshinskii-Moriya interactions on energy current.
  • To determine the conditions for energy current conservation in this spin model.

Main Methods:

  • Formulation of the Hamiltonian for the generalized compass chain.
  • Analysis of energy current operators and their site-dependency.
  • Investigation of the system's energy spectra and phase diagram under varying conditions.
  • Utilizing the exactly solvable nature of the spin model.

Main Results:

  • Energy current operators act on three contiguous sites without a magnetic field.
  • Inhomogeneous Dzyaloshinskii-Moriya interactions are incorporated in the presence of a magnetic field.
  • The Hamiltonian remains exactly solvable despite complex interactions.
  • Energy current is conserved in the pristine quantum compass model due to intermediate symmetries.
  • This conservation is lost in more general cases.

Conclusions:

  • The presence of symmetries dictates energy current conservation in quantum compass models.
  • External magnetic fields and associated interactions (like Dzyaloshinskii-Moriya) break these symmetries and disrupt energy current conservation.
  • The model remains exactly solvable, allowing for detailed analysis of these effects.