Thermal Coherent and Thermal Squeezed States

H. Ezawa, A. Mann, Kazutaka G. Nakamura +1 more

J. Oz-Vogt, A. Mann, M. Revzen

Various definitions of thermal coherent states and thermal squeezed states are compared and interrelated. Different ordering of squeezing, displacement and thermalizing operators is discussed in order to establish a relation between all definitions. A one-to-one correspondence is exhibited between general Gaussian density matrices in coordinate space and thermal squeezed states.

Wen-Fa Lu

Within the framework of thermofield dynamics, the wavefunction of the thermal vacuum is given in terms of the position coordinates, and a thermal coordinate representation is introduced through the thermal unitary transformation. Exploting the representation, we obtain position-coordinate wavefunctions of thermal coherent and squeezed states. In the thermal coordinate representation, these wavefunctions are correspondingly the same forms as vacuum, coherent and squeezed states in the coordinate representation.

Willi-Hans Steeb

G. E. Drăgănescu, A. Messina, Anna Napoli

In this work we study different types of coherent and squeezed states for the Charlier, Kravchuk and Meixner oscillators. We calculate the average values of different observables corresponding to the coherent states. We found that the coherent and squeezed states of the Kravchuk oscillator are unstable. There are also coherent and squeezed states that are similar to the coherent and squeezed states of the harmonic oscillator. We have introduced a discrete variable model for the biophoton coherent radiation, and the coherent thermal and squeezed thermal states.