Berry's phase in the presence of a dissipative medium

Romero, K. M. Fonseca; Pinto, A.C. Aguiar; Thomaz, M. T.

doi:10.1016/s0378-4371(01)00589-1

Cited by 38 publications

(11 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The topological structure of quantum Hall systems has been conjectured to be a possible resource for fault tolerant quantum computation [29]. These potential applications of geometric phases in quantum information science motivated a number of articles devoted to their implementation in quantum optical systems and their behavior under the influence of different kinds of reservoir [30][31][32][33][34][35][36][37]. Decoherence is recognized as the main difficulty for quantum information protocols in realistic physical systems.…”

Section: Introductionmentioning

confidence: 99%

Topological phase structure of entangled qudits

Khoury¹,

Oxman²

2014

Phys. Rev. A

View full text Add to dashboard Cite

We discuss the appearance of fractional topological phases on cyclic evolutions of entangled qudits. The original result reported in Phys. Rev. Lett. 106, 240503 (2011) is detailed and extended to qudits of different dimensions. The topological nature of the phase evolution and its restriction to fractional values are related to both the structure of the projective space of states and entanglement. For maximally entangled states of qudits with the same Hilbert space dimension, the fractional geometric phases are the only ones attainable under local SU(d) operations, an effect that can be experimentally observed through conditional interference.

show abstract

Section: Introductionmentioning

confidence: 99%

Topological phase structure of entangled qudits

Khoury¹,

Oxman²

2014

Phys. Rev. A

View full text Add to dashboard Cite

show abstract

“…In this context, several treatments for GPs acquired by the density operator have been proposed (see, e.g., Refs. [9,10,11,12,13]). Moreover, in the particu-lar case of Markovian interaction with the environment, where the system is described by a master equation in the Lindblad form [14], GPs have also been analyzed through quantum trajectories [15,16,17] (see also Ref.…”

Section: Introductionmentioning

confidence: 99%

Dynamical invariants and nonadiabatic geometric phases in open quantum systems

2007

View full text Add to dashboard Cite

We introduce an operational framework to analyze non-adiabatic Abelian and non-Abelian, cyclic and noncyclic, geometric phases in open quantum systems. In order to remove the adiabaticity condition, we generalize the theory of dynamical invariants to the context of open systems evolving under arbitrary convolutionless master equations. Geometric phases are then defined through the Jordan canonical form of the dynamical invariant associated with the super-operator that governs the master equation. As a by-product, we provide a sufficient condition for the robustness of the phase against a given decohering process. We illustrate our results by considering a two-level system in a Markovian interaction with the environment, where we show that the non-adiabatic geometric phase acquired by the system can be constructed in such a way that it is robust against both dephasing and spontaneous emission.

show abstract

“…In this range, the time dependence of ∆ is neither affected by interactions among bath spins nor by the molecular field of the central spin. It comes solely from the field-induced precession (with the frequency ω I = −µ I B/I) that we treat in the adiabatic approximation [26,42]. For experiments involving sequential measurements of FID for a single dot or donor impurity we are interested in w(t) averaged over possible initial values of ∆.…”

mentioning

confidence: 99%

Spin dynamics of a confined electron interacting with magnetic or nuclear spins: A semiclassical approach

Dietl

2015

Phys. Rev. B

View full text Add to dashboard Cite

A physically transparent and mathematically simple semiclassical model is employed to examine dynamics in the central-spin problem. The results reproduce a number of previous findings obtained by various quantum approaches and, at the same time, provide information on the electron spin dynamics and Berry's phase effects over a wider range of experimentally relevant parameters than available previously. This development is relevant to dynamics of bound magnetic polarons and spin dephasing of an electron trapped by an impurity or a quantum dot, and coupled by a contact interaction to neighboring localized magnetic impurities or nuclear spins. Furthermore, it substantiates the applicability of semiclassical models to simulate dynamic properties of spintronic nanostructures with a mesoscopic number of spins.PACS numbers: 03.65. Yz,73.21.La,75.50.Pp,76.60.Es A persistent progress in controlling of ever smaller spin ensembles has stimulated the development of various quantum approaches [1-10] and numerical diagonalization procedures [11][12][13][14] to the central-spin problem [15,16], designed to describe dephasing of a single electron coupled to a spin bath residing within electron's confinement region. These works have been put forward to understand effects of nuclear magnetic moments on electron spin qubits in quantum dots [17][18][19][20] but they appear also relevant to studies of spin dynamics of a confined electron in dilute magnetic semiconductors (DMSs) at times shorter than intrinsic transverse relaxation time T 2 of the central and bath spins. However, due to inherent complexity, the quantum models are so far valid in a restricted range of experimental parameters.In this paper, we reexamine spin dephasing of a confined electron employing a previous semiclassical approach to the central-spin problem [21,22]. The proposed model appears similar to more recent semiclassical treatments of electron spin dynamics in the presence of a nuclear spin bath [23][24][25][26][27][28], but its significantly more generic formulation put forward here allows us to consider less restricted ranges of times t, magnetic fields B, polarizations p I and lengths I of the bath spins as well as to take into account Berry's phase, polaronic effects, and spinspin interactions within the bath. These interactions are encoded in the dynamic longitudinal and transverse magnetic susceptibilities χ q (ω) of the system in the absence of the electron, which-at least in principle-are available experimentally, and constitute the input parameters to the theory. In this way we provide a formalism suitable to describe experimental results in the hitherto unavailable parameter space, allowing also to benchmark various implementations of quantum theory and to establish limitations of the present semiclassical model.The starting point [21,29] is the electron spin Hamiltonianˆ s ∆ with eigenvalues describing spin-split electron energies ± 1 2 ∆, where in the presence of a collinear magnetic field B and an average magnetization M 0 of bath spins each...

show abstract

Berry's phase in the presence of a dissipative medium

Cited by 38 publications

References 19 publications

Topological phase structure of entangled qudits

Topological phase structure of entangled qudits

Dynamical invariants and nonadiabatic geometric phases in open quantum systems

Spin dynamics of a confined electron interacting with magnetic or nuclear spins: A semiclassical approach

Contact Info

Product

Resources

About