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We calculate the geometric phase for different open systems (spin-boson and spin-spin models). We study not only how they are corrected by the presence of the different type of environments but also discuss the appearence of decoherence…

Quantum Physics · Physics 2008-03-11 Fernando C. Lombardo , Paula I. Villar

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

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

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 find the geometric phase of a two-level system undergoing pure dephasing via interaction with an arbitrary environment, taking into account the effect of the initial system-environment correlations. We use our formalism to calculate the…

Quantum Physics · Physics 2020-03-04 Sharoon Austin , Sheraz Zahid , Adam Zaman Chaudhry

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

We study the role of driving in a two-level system evolving under the presence of a structured environment. We find that adding a periodical modulation to the two-level system can greatly enhance the survival of the geometric phase for many…

Quantum Physics · Physics 2020-05-27 Paula I. Villar , Alejandro Soba

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 calculate the geometric phase of a bipartite two-level system coupled to an external environment. We analyze the reduced density matrix for an arbitrary initial state of the composite system and compute the correction to the unitary…

Quantum Physics · Physics 2015-05-18 Fernando C. Lombardo , Paula I. Villar

Non-Markovian effects are often significant when the system-environment coupling is not weak. Indeed, we find that the non-Markovianity is negligible for a single two-level system undergoing pure dephasing via a weak interaction with a…

Quantum Physics · Physics 2026-03-03 Asif Zaman , Muhammad Faryad , Adam Zaman Chaudhry

Beyond the quantum Markov approximation and the weak coupling limit, we present a general theory to calculate the geometric phase for open systems with and without conserved energy. As an example, the geometric phase for a two-level system…

Quantum Physics · Physics 2009-11-13 X. X. Yi , D. M. Tong , L. C. Wang , L. C. Kwek , C. H. OH

We study the non-Markovian quantum interference phenomenon of a multi-state atomic system coupled to a bosonic dissipative environment by using the exact master equations derived in this paper. Two examples involving four-level systems with…

Quantum Physics · Physics 2019-01-23 Yusui Chen , J. Q. You , Ting Yu

Non-Markovian effects in the dynamics of an open system are typically characterized by non-monotonic information flows from the system to its environment or by information backflows from the environment to the system. Using a two-level…

Quantum Physics · Physics 2025-10-10 Da-Wei Luo , Ting Yu

Stochastic resonance is a phenomenon where the response signal to external driving is enhanced by environment noise. In quantum regime, the effect of environment is often intrinsically non-Markovian. Due to the combination of such…

Mesoscale and Nanoscale Physics · Physics 2023-03-17 Ruofan Chen , Xiansong Xu

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

Under the Born--Markov approximation, a qubit system, such as a two-level atom, is known to undergo a memoryless decay of quantum coherence or excitation when weakly coupled to a featureless environment. Recently, it has been shown that…

Quantum Physics · Physics 2020-02-12 Gian Luca Giorgi , Salvatore Lorenzo , Stefano Longhi

Geometric phases and information flows of a two-level system coupled to its environment are calculated and analyzed. The information flow is defined as a cumulant of changes in trace distance between two quantum states, which is similar to…

Quantum Physics · Physics 2015-05-20 S. L. Wu , X. L. Huang , L. C. Wang , X. X. Yi

We compute the geometric phase for a spin-1/2 particle under the presence of a composite environment, composed of an external bath (modeled by an infinite set of harmonic oscillators) and another spin-1/2 particle. We consider both cases:…

Quantum Physics · Physics 2015-05-28 Paula I. Villar , Fernando C. Lombardo

We study the interplay between forgetful and memory-keeping evolution enforced on a two-level system by a multi-spin environment whose elements are coupled to local bosonic baths. Contrarily to the expectation that any non-Markovian effect…

Quantum Physics · Physics 2013-04-02 Salvatore Lorenzo , Francesco Plastina , Mauro Paternostro

Non-Markovian evolution of an open quantum system can be induced by the memory effects of a reservoir. Although a reservoir with stronger memory effects may seem like it should cause stronger non-Markovian effects on the system of interest,…

Quantum Physics · Physics 2014-10-13 Tiantian Ma , Yusui Chen , Tian Chen , Samuel R. Hedemann , Ting Yu
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