Fermionic-mode entanglement in non-Markovian environment

Journal Article · Sun Mar 15 04:00:00 EDT 2015 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2015.01.023· OSTI ID:22447620

Cheng, Jiong ^[1]; Han, Yan ^[2]; An, Qing-zhi ^[1]; Zhou, Ling ^[1]

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1. School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024 (China)
2. School of Physics and Optoelectronic Technology, Taiyuan University of Technology, Taiyuan 030024 (China)

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.

• OSTI ID: 22447620
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 354; ISSN APNYA6; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

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