# 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:

- 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}

}

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