Geometric phases induced in auxiliary qubits by many-body systems near its critical points
arXiv:quant-ph/0703049 · doi:10.1103/PhysRevA.75.032103
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 couple 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 the many-body system, and it tends to zero with the parameters of the many-body system going away from the critical points.
References in corpus (7)
- Geometric phases and criticality in spin chain systems
- Geometric nature of the environment-induced Berry phase and geometric dephasing
- Geometric phases in open systems: an exact model to study how they are corrected by decoherence
- Abelian and non-Abelian geometric phases in adiabatic open quantum systems
- Geometric phase distributions for open quantum systems
- Geometric phase in open systems: beyond the Markov approximation and weak coupling limit
- Geometric phase for an adiabatically evolving open quantum system