Berry's phase in a one-dimensional quantum many-body system

Journal Article · Tue Mar 01 00:00:00 EST 1994 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)

DOI:https://doi.org/10.1103/PhysRevE.49.2461· OSTI ID:5145485

Schuetz, G ^[1]

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1. Department of Physics, Weizmann Institute, Rehovot 76100 (Israel)

We study an interacting one-dimensional quantum lattice gas of massive fermions on a ring with [ital L] lattice sites. The ring is threaded by a magnetic flux corresponding to a twist in boundary conditions. We compute the periodicity of the ground state under an adiabatically increasing flux and the associated Berry's phase occurring in this process. The model has a second-order phase transition line which coincides with a line where the Berry phase changes nonanalytically.

• OSTI ID: 5145485
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States), Vol. 49:3; ISSN 1063-651X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MANY-BODY PROBLEM
ONE-DIMENSIONAL CALCULATIONS
PHASE TRANSFORMATIONS
QUANTUM MECHANICS
STATISTICAL MECHANICS
BOUNDARY CONDITIONS
FERMIONS
GROUND STATES
MAGNETIC FLUX
PERIODIC SYSTEM
RINGS
ENERGY LEVELS
MECHANICS
661300* - Other Aspects of Physical Science- (1992-)