Geometric phase in open two-level system

Wang, Z. S.; Kwek, Leong Chuan; Lai, Ching-Yi; Oh, C. H.

doi:10.1209/epl/i2006-10057-1

Cited by 49 publications

(56 citation statements)

References 28 publications

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“…Our result is in agreement with that of Ref. [11], where GP is shown to depend on the dephasing parameter, introduced phenomenologically. Our result is obtained from a microscopic model, governed by Eqs.…”

Section: Evolution Of Gp In a Phase Damping Channelsupporting

confidence: 93%

“…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.…”

Section: Introductionmentioning

confidence: 99%

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

Banerjee

Srikanth

2007

Eur. Phys. J. D

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Abstract. We study the geometric phase of an open two-level quantum system under the influence of a squeezed, thermal environment for both non-dissipative as well as dissipative system-environment interactions. In the non-dissipative case, squeezing is found to have a similar influence as temperature, of suppressing geometric phase, while in the dissipative case, squeezing tends to counteract the suppressive influence of temperature in certain regimes. Thus, an interesting feature that emerges from our work is the contrast in the interplay between squeezing and thermal effects in non-dissipative and dissipative interactions. This can be useful for the practical implementation of geometric quantum information processing.By interpreting the open quantum effects as noisy channels, we make the connection between geometric phase and quantum noise processes familiar from quantum information theory.

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Section: Evolution Of Gp In a Phase Damping Channelsupporting

confidence: 93%

Section: Introductionmentioning

confidence: 99%

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

Banerjee

Srikanth

2007

Eur. Phys. J. D

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“…However, due to the inevitable interactions between the qubits and the environment, a pure state will be driven to a mixed one. Therefore, the study of geometric phase of systems under nonunitary evolutions becomes important, and some work has been done to generalize the geometric phase to open quantum systems [16][17][18][19][20], and the effects of different kinds of decoherence sources on the geometric phase have been analyzed [21][22][23][24][25]. By studying the geometric phase of an open system, we can draw some information about the nonunitary evolution of the system and the characteristics of the environment the system coupled to.…”

Section: Introductionmentioning

confidence: 99%

Geometric phase outside a Schwarzschild black hole and the Hawking effect

2012

J. High Energ. Phys.

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We study the Hawking effect in terms of the geometric phase acquired by a two-level atom We find, for all the three cases, that the geometric phase of the atom turns out to be affected by the space-time curvature which backscatters the vacuum field modes. In both the Unruh and Hartle-Hawking vacua, the geometric phase exhibits similar behaviors as if there were thermal radiation at the Hawking temperature from the black hole. So, a measurement of the change of the geometric phase as opposed to that in a flat space-time can in principle reveal the existence of the Hawking radiation.

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“…Berry like phases and non-cyclic invariants associated to neutrino oscillations (see for example [36]- [39] and references therein) and to non-hermitian systems (see for example [24], [40]- [43] and references therein) have been also studied extensively.…”

Section: Introductionmentioning

confidence: 99%

ProbingCPTviolation in meson mixing by a noncyclic phase

Capolupo¹

2011

Phys. Rev. D

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The presence of non-cyclic phases is revealed in the time evolution of mixed meson systems. Such phases are related to the parameter z describing the CP T violation; moreover, a non zero phase difference between particle and antiparticle arises only in presence of CP T symmetry breaking. Thus, a completely new test for the CP T invariance can be provided by the study of such phases in mixed mesons. Systems which are particularly interesting for such an analysis are the B 0 s −B 0 s and the K 0 −K 0 ones. In order to introduce non-cyclic phases, some aspects of the formalism describing the mixed neutral mesons are analyzed. Since the effective Hamiltonian of systems likeis non-Hermitian and non-normal, it is necessary to diagonalize it by utilizing the rules of non-Hermitian quantum mechanics.

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Geometric phase in open two-level system

Cited by 49 publications

References 28 publications

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

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

Geometric phase outside a Schwarzschild black hole and the Hawking effect

ProbingCPTviolation in meson mixing by a noncyclic phase

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