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Geometric phase of an open quantum system that is interacting with a thermal environment (bath) is studied through some simple examples. The system is considered to be a simple spin-half particle which is weakly coupled to the bath. It is…

Quantum Physics · Physics 2009-11-11 A. T. Rezakhani , P. Zanardi

We study the dynamics of the quantum phase distribution associated with the reduced density matrix of a system for a number of situations of practical importance, as the system evolves under the influence of its environment, interacting via…

Quantum Physics · Physics 2009-11-13 Subhashish Banerjee , R. Srikanth

Trapped ions are among the most promising candidates for performing quantum information processing tasks. Recently, it was demonstrated how the properties of geometric phases can be used to implement an entangling two qubit phase gate with…

Quantum Physics · Physics 2021-04-15 Kai Müller , Kimmo Luoma , Walter T. Strunz

Geometric phases have been shown to be feasible in implementing quantum gates to perform quantum information processing. For all the realistic applications, the environmental influence on the geometric phase and decoherence such as memory…

Quantum Physics · Physics 2018-11-14 Da-Wei Luo , J. Q. You , Hai-Qing Lin , Lian-Ao Wu , Ting Yu

The behavior of the geometric phase gained by a single spin-1/2 nucleus immersed into a thermal or a squeezed environment is investigated. Both the time dependence of the phase and its value at infinity are examined against several physical…

Quantum Physics · Physics 2009-12-31 A. C. Günhan , S. Turgut , N. K. Pak

We propose a new way to generate an observable geometric phase by means of a completely incoherent phenomenon. We show how to imprint a geometric phase to a system by "adiabatically" manipulating the environment with which it interacts. As…

Quantum Physics · Physics 2009-11-11 Angelo Carollo , G. Massimo Palma , Artur Lozinski , Marcelo Franca Santos , Vlatko Vedral

We describe the decoherence process induced on a two-level quantum system in direct interaction with a non-equilibrium environment. The non-equilibrium feature is represented by a non-stationary random function corresponding to the…

Quantum Physics · Physics 2015-06-15 Fernando C. Lombardo , Paula I. Villar

We analyze the influence of a dissipative environment on geometric phases in a quantum system subject to non-adiabatic evolution. We find dissipative contributions to the acquired phase and modification of dephasing, considering the cases…

Quantum Physics · Physics 2016-07-20 A. E. Svetogorov , Yu. Makhlin

We study the geometric phase of a two-level atom coupled to an environment with Lorentzian spectral density. The non-Markovian effect on the geometric phase is explored analytically and numerically. In the weak coupling limit the…

Quantum Physics · Physics 2015-05-18 Juan-Juan Chen , Jun-Hong An , Qing-Jun Tong , Hong-Gang Luo , C. H. Oh

Based on a generic quantum open system model, we study the geometric nature of decoherence by defining a complex-valued geometric phase through stochastic pure states describing non-unitary, non-cyclic and non-adiabatic evolutions. The…

Quantum Physics · Physics 2019-12-11 Da-Wei Luo , Hai-Qing Lin , J. Q. You , Lian-Ao Wu , Rupak Chatterjee , Ting Yu

This thesis consists of several studies performed over different few-dof quantum systems exposed to the effect of an uncontrolled environment. The primary focus of the work is to explore the relation between decoherence and…

Quantum Physics · Physics 2023-07-11 Ludmila Viotti

We study the geometric phase accumulated during non-adiabatic charging of different driven open quantum systems serving as quantum battery models. We provide a full numerical analysis of dynamics under different type of noises typically…

Quantum Physics · Physics 2025-09-16 Camila Cristiano , Ludmila Viotti , Paula I. Villar

We investigate the qubit geometric phase and its properties in dependence on the mechanism for decoherence of a qubit weakly coupled to its environment. We consider two sources of decoherence: dephasing coupling (without exchange of energy…

Quantum Physics · Physics 2011-06-01 J. Dajka , J. Luczka , P. Hanggi

We calculate the geometric phase for an open system (spin-boson model) which interacts with an environment (ohmic or nonohmic) at arbitrary temperature. However there have been many assumptions about the time scale at which the geometric…

Quantum Physics · Physics 2009-11-13 Fernando C. Lombardo , Paula I. Villar

One of the intriguing effects due to conical intersections is the geometric phase, manifested as destructive quantum interference in the nuclear probability distribution. However, whether such geometric phaseinduced interference can survive…

Chemical Physics · Physics 2025-09-03 Xiang Li , Bing Gu

Geometric phases, arising from cyclic evolutions in a curved parameter space, appear in a wealth of physical settings. Recently, and largely motivated by the need of an experimentally realistic definition for quantum computing applications,…

Quantum Physics · Physics 2011-02-04 F. M. Cucchietti , J. -F. Zhang , F. C. Lombardo , P. I. Villar , R. Laflamme

Steering a quantum harmonic oscillator state along cyclic trajectories leads to a path-dependent geometric phase. Here we describe an experiment observing this geometric phase in an electronic harmonic oscillator. We use a superconducting…

Quantum Physics · Physics 2013-06-21 M. Pechal , S. Berger , A. A. Abdumalikov , J. M. Fink , J. A. Mlynek , L. Steffen , A. Wallraff , S. Filipp

The geometric phases of a two-level atom interacting with non-Markovian environments are calculated and the non-Markovian effects on the geometric phases are discussed in this paper. Three kinds of methods that describe the non-Markovian…

Quantum Physics · Physics 2008-11-10 X. L. Huang , X. X. Yi

We address the dephasing dynamics of the quantum Fisher information (QFI) for the process of quantum thermometry with probes coupled to squeezed thermal baths via the nondemolition interaction. We also calculate the upper bound for the…

Quantum Physics · Physics 2020-03-05 H. Rangani Jahromi

The relationship between quantum phase transition and complex geometric phase for open quantum system governed by the non-Hermitian effective Hamiltonian with the accidental crossing of the eigenvalues is established. In particular, the…

Quantum Physics · Physics 2008-11-26 Alexander I. Nesterov , S. G. Ovchinnikov
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