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Berry phase in a nonisolated system.

Robert S Whitney1, Yuval Gefen

  • 1Theoretical Physics, University of Oxford, United Kingdom.

Physical Review Letters
|June 6, 2003
PubMed
Summary
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The environment affects spin Berry phase measurements, which are observable on specific timescales, but differ from isolated spin results. This finding is key for superconducting nanocircuit applications.

Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Quantum information science

Background:

  • Berry phase measurements are crucial for quantum information processing.
  • Environmental interactions can significantly alter quantum phenomena.

Purpose of the Study:

  • To investigate the impact of environmental effects on Berry phase measurements in a spin-half system.
  • To understand the conditions under which Berry phase can be observed in realistic, noisy quantum systems.

Main Methods:

  • Modeling the spin-environment interaction using a biased spin-boson Hamiltonian.
  • Incorporating a time-dependent magnetic field to simulate experimental conditions.
  • Analyzing the Berry phase evolution under varying timescales.

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Main Results:

  • The Berry phase is observable within a specific, intermediate timescale, not too short or too long.
  • The measured Berry phase deviates from that of an isolated spin-half system.
  • The acquired Berry phase lacks a simple geometric interpretation in terms of bare or dressed spin states.

Conclusions:

  • Environmental decoherence modifies the Berry phase, making its direct geometric interpretation challenging.
  • These findings are critical for the accurate implementation of Berry phase measurements in superconducting nanocircuits.
  • Careful control of measurement timescales is necessary to observe and interpret Berry phase in the presence of environmental noise.