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Modern Physics Letters B

DYNAMICAL BEHAVIORS OF THE WIGNER FUNCTION OF EXCITED BINOMIAL STATES IN THERMAL CHANNEL

Shan-Hai Mei, Shangbin Li

Published Feb 20, 2009• 1 citation
Publisher

Abstract

In this paper, we investigate the non-classicality of excited binomial states by analyzing the partial negativity of the Wigner function. The volume of the negative part of the Wigner function is numerically calculated for some single-photon-excited binomial states. The dynamical behaviors of the Wigner distribution of excited binomial states in the thermal channel are investigated.

DOI
10.1142/s0217984909018965

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The nonclassicality of photon-added coherent fields in the thermal channel is investigated by exploring the volume of the negative part of the Wigner function that reduces with the dissipative time. The Wigner functions become positive when the decay time exceeds a threshold value. For the case of the single photon-added coherent state, we derive the exact threshold values of decay time in the thermal channel. For arbitrary partial negative Wigner distribution function, a generic analytical relation between the mean photon number of heat bath and the threshold value of decay time is presented. Finally, the possible application of single photon-added coherent states in quantum computation has been briefly discussed.
The mean parity (the Wigner function at the origin) of excited binomial states, excited coherent states and excited thermal states in thermal channel is investigated in details. It is found that the single-photon excited binomial state and the single-photon excited coherent state exhibit certain similarity in the aspect of their mean parity in the thermal channel. We show the negative mean parity can be regarded as an indicator of nonclassicality of single-photon excitation of optical fields with a little coherence, especially for the single-photon excited thermal states.
Abstract We applied the thermofield dynamics formalism to analyze how the non-classical properties of the Bell-cat states are influenced by a gradual change of temperature values, in a thermal equilibrium system. To this purpose we calculate the thermal Wigner functions for these states, whose negative volume is associated with non-classical properties, and we evaluate how these non-classical features vary with temperature. Our results indicate that these properties are almost absent for temperatures of around 2 K.
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