# Fermionic-mode entanglement in non-Markovian environment

## Abstract

We evaluate the non-Markovian effects on the entanglement dynamics of a fermionic system interacting with two dissipative vacuum reservoirs. The exact solution of density matrix is derived by utilizing the Feynman–Vernon influence functional theory in the fermionic coherent state representation and the Grassmann calculus, which are valid for both the fermionic and bosonic baths, and their difference lies in the dependence of the parity of the initial states. The fermionic entanglement dynamics is presented by adding an additional restriction to the density matrix known as the superselection rules. Our analysis shows that the usual decoherence suppression schemes implemented in qubits systems can also be achieved for systems of identical fermions, and the initial state proves its importance in the evolution of fermionic entanglement. Our results provide a potential way to decoherence controlling of identical fermions.

- Authors:

- School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024 (China)
- School of Physics and Optoelectronic Technology, Taiyuan University of Technology, Taiyuan 030024 (China)
- (China)

- Publication Date:

- OSTI Identifier:
- 22447620

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics; Journal Volume: 354; Other Information: Copyright (c) 2015 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANNIHILATION OPERATORS; DENSITY MATRIX; EIGENSTATES; EXACT SOLUTIONS; FERMIONS; MARKOV PROCESS; QUANTUM ENTANGLEMENT; QUBITS; SUPERSELECTION RULES

### Citation Formats

```
Cheng, Jiong, Han, Yan, School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, An, Qing-zhi, and Zhou, Ling, E-mail: zhlhxn@dlut.edu.cn.
```*Fermionic-mode entanglement in non-Markovian environment*. United States: N. p., 2015.
Web. doi:10.1016/J.AOP.2015.01.023.

```
Cheng, Jiong, Han, Yan, School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, An, Qing-zhi, & Zhou, Ling, E-mail: zhlhxn@dlut.edu.cn.
```*Fermionic-mode entanglement in non-Markovian environment*. United States. doi:10.1016/J.AOP.2015.01.023.

```
Cheng, Jiong, Han, Yan, School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, An, Qing-zhi, and Zhou, Ling, E-mail: zhlhxn@dlut.edu.cn. Sun .
"Fermionic-mode entanglement in non-Markovian environment". United States.
doi:10.1016/J.AOP.2015.01.023.
```

```
@article{osti_22447620,
```

title = {Fermionic-mode entanglement in non-Markovian environment},

author = {Cheng, Jiong and Han, Yan and School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024 and An, Qing-zhi and Zhou, Ling, E-mail: zhlhxn@dlut.edu.cn},

abstractNote = {We evaluate the non-Markovian effects on the entanglement dynamics of a fermionic system interacting with two dissipative vacuum reservoirs. The exact solution of density matrix is derived by utilizing the Feynman–Vernon influence functional theory in the fermionic coherent state representation and the Grassmann calculus, which are valid for both the fermionic and bosonic baths, and their difference lies in the dependence of the parity of the initial states. The fermionic entanglement dynamics is presented by adding an additional restriction to the density matrix known as the superselection rules. Our analysis shows that the usual decoherence suppression schemes implemented in qubits systems can also be achieved for systems of identical fermions, and the initial state proves its importance in the evolution of fermionic entanglement. Our results provide a potential way to decoherence controlling of identical fermions.},

doi = {10.1016/J.AOP.2015.01.023},

journal = {Annals of Physics},

number = ,

volume = 354,

place = {United States},

year = {Sun Mar 15 00:00:00 EDT 2015},

month = {Sun Mar 15 00:00:00 EDT 2015}

}