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Berry phase in a composite system.

X X Yi1, L C Wang, T Y Zheng

  • 1Department of physics, Dalian University of Technology, Dalian 116024, China.

Physical Review Letters
|June 1, 2004
PubMed
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We investigated the Berry phase in coupled spin systems. The Berry phase of the composite system depends on subsystem coupling and individual Berry phases.

Area of Science:

  • Quantum mechanics
  • Condensed matter physics

Background:

  • The Berry phase is a fundamental concept in quantum mechanics, describing geometric effects in quantum systems.
  • Composite systems offer a platform to explore complex quantum phenomena.

Purpose of the Study:

  • To study the Berry phase in a composite system composed of two coupled spin-1/2 subsystems.
  • To analyze the influence of inter-subsystem coupling on the Berry phase.
  • To establish the relationship between the Berry phase of the composite system and those of its individual subsystems.

Main Methods:

  • Theoretical analysis of a composite system of two coupled spin-1/2 particles.
  • One subsystem is subjected to a time-dependent magnetic field.

Main Results:

Related Experiment Videos

  • The Berry phase of the composite system is shown to be dependent on the coupling strength between the two spin subsystems.
  • A clear relationship is established between the Berry phase of the composite system and the Berry phases acquired by each individual subsystem.
  • The driven subsystem's parameters significantly influence the overall Berry phase.

Conclusions:

  • The coupling between subsystems plays a crucial role in determining the Berry phase of composite quantum systems.
  • Understanding these dependencies allows for potential control and manipulation of quantum geometric phases.
  • This work provides insights into the behavior of quantum phases in multi-component quantum systems.