Effects of a squeezed-vacuum reservoir on geometric phase

Geometric phase of a qubit interacting with a squeezed-thermal bath

“…[11] and [12] consider GP evolving under an amplitude damping channel and a squeezed amplitude damping channel, respectively. These are subsumed under the squeezed generalized amplitude damping channel considered above.…”

“…A kinematic approach to define GP in mixed states undergoing nonunitary evolution, generalizing the results of the above two works, has recently been proposed by Tong et al [10]. Wang et al [11,12] defined a GP based on a mapping connecting density matrices representing an open quantum system, with a nonunit vector ray in complex projective Hilbert space, and applied it to study the effects of a squeezed-vacuum reservoir on GP.…”

Non-Markovian effects on the geometric phase

“…However the exactly solvable models for open system are only few, most problems are treated with certain approximations. For instance, the finite temperature effect of environment on the mixed state geometric phases [16] and the effects of a squeezed vacuum reservoir on geometric phases [17] were studied within the Markovian approximation. It is well known that when the dissipation is large or reservoir is finite and the initial state of the composite system(system and environment) is entangled, the process exhibits strong non-Markovian effects.…”

Geometric Phase in Fluctuating Magnetic Field

“…The double commutator is the CPT violating term since although it is CP symmetric it induces time-irreversibility, which may be an appropriate form for the decoherence. It is noted that (10) is different from the others from a system interacting with the normal [27,32] and squeezed vacuum fluctuation [29]. Defining u(t) = ( ρ 11 − ρ 22 )/2, v(t) = 2Re( ρ 12 ) and w(t) = 2Im( ρ 12 ), one find that (10) may be rewritten as…”

“…It is known that the decoherence may come from the fluctuations of both physical quantities and vacuums. In previous works [18][19][20][21][22][23][24][25][26][27][28][29], however, almost studies have concentrated to the effects of vacuum fluctuations on the geometric phase. Therefore, it is interesting to study the effects of fluctuating magnetic field on the geometric phase.…”