Quantum dynamical phase transition in a system with many-body interactions | Solid State Communications

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Quantum dynamical phase transition in a system with many-body interactions

E.P. Danieli, G.A. Álvarez, P.R. Levstein, H.M. Pastawski

Facultad de Matemática, Astronomía y Física, Universidad Nacional de Córdoba, 5000 Córdoba, Argentina

Received 26 October 2006. Accepted 1 November 2006. Available online 16 November 2006. by R. Merlin.

via Quantum dynamical phase transition in a system with many-body interactions 10.1016/j.ssc.2006.11.001 : Solid State Communications | ScienceDirect.com.

Abstract

Recent experiments, [G.A. Álvarez, E.P. Danieli, P.R. Levstein, H.M. Pastawski, J. Chem. Phys. 124 (2006) 194507], have reported the observation of a quantum dynamical phase transition in the dynamics of a spin swapping gate. In order to explain this result from a microscopic perspective, we introduce a Hamiltonian model of a two level system with many-body interactions with an environment whose excitation dynamics is fully solved within the Keldysh formalism. If a particle starts in one of the states of the isolated system, the return probability oscillates with the Rabi frequency ω0. For weak interactions with the environment View the MathML source, we find a slower oscillation whose amplitude decays with a rate View the MathML source. However, beyond a finite critical interaction with the environment, View the MathML source, the decay rate becomes View the MathML source. The oscillation period diverges showing a quantum dynamical phase transition to a Quantum Zeno phase consistent with the experimental observations.

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