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Repelling, binding, and oscillating of two-particle discrete-time quantum walks

Journal Article · · Annals of Physics

In this paper, we investigate the effects of particle–particle interaction and static force on the propagation of probability distribution in two-particle discrete-time quantum walk, where the interaction and static force are expressed as a collision phase and a linear position-dependent phase, respectively. It is found that the interaction can lead to boson repelling and fermion binding. The static force also induces Bloch oscillation and results in a continuous transition from boson bunching to fermion anti-bunching. The interplays of particle–particle interaction, quantum interference, and Bloch oscillation provide a versatile framework to study and simulate many-particle physics via quantum walks.

OSTI ID:
22617390
Journal Information:
Annals of Physics, Journal Name: Annals of Physics Vol. 373; ISSN 0003-4916; ISSN APNYA6
Country of Publication:
United States
Language:
English

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