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Title: Geometric phases induced in auxiliary qubits by many-body systems near their critical points

Abstract

The geometric phase induced in an auxiliary qubit by a many-body system is calculated and discussed. Two kinds of coupling between the auxiliary qubit and the many-body system are considered, which lead to dephasing and dissipation in the qubit, respectively. As an example, we consider the XY spin chain dephasingly coupled to a qubit. The geometric phase induced in the qubit is presented and discussed. The results show that the geometric phase might be used to signal the critical points of a many-body system, and it tends to zero as the parameters of the many-body system go away from the critical points.

Authors:
;  [1]
  1. Department of Physics, Dalian University of Technology, Dalian 116024 (China)
Publication Date:
OSTI Identifier:
20982234
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 75; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.75.032103; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COUPLING; MANY-BODY PROBLEM; QUANTUM COMPUTERS; QUBITS; SPIN

Citation Formats

Yi, X. X., and Wang, W. Geometric phases induced in auxiliary qubits by many-body systems near their critical points. United States: N. p., 2007. Web. doi:10.1103/PHYSREVA.75.032103.
Yi, X. X., & Wang, W. Geometric phases induced in auxiliary qubits by many-body systems near their critical points. United States. doi:10.1103/PHYSREVA.75.032103.
Yi, X. X., and Wang, W. Thu . "Geometric phases induced in auxiliary qubits by many-body systems near their critical points". United States. doi:10.1103/PHYSREVA.75.032103.
@article{osti_20982234,
title = {Geometric phases induced in auxiliary qubits by many-body systems near their critical points},
author = {Yi, X. X. and Wang, W.},
abstractNote = {The geometric phase induced in an auxiliary qubit by a many-body system is calculated and discussed. Two kinds of coupling between the auxiliary qubit and the many-body system are considered, which lead to dephasing and dissipation in the qubit, respectively. As an example, we consider the XY spin chain dephasingly coupled to a qubit. The geometric phase induced in the qubit is presented and discussed. The results show that the geometric phase might be used to signal the critical points of a many-body system, and it tends to zero as the parameters of the many-body system go away from the critical points.},
doi = {10.1103/PHYSREVA.75.032103},
journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 75,
place = {United States},
year = {2007},
month = {3}
}