Corrections to the Berry phase in a solid-state qubit due to low-frequency noise

Lombardo, Fernando C.; Villar, Paula I.

doi:10.1103/physreva.89.012110

Cited by 23 publications

(16 citation statements)

References 28 publications

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“…If the typical frequencies of the environment are close to the characteristic frequency of the qubit, the interaction induces transitions between the energy levels and the pure dephasing model is inadequate to describe the dynamics. The Hamiltonian must include a transverse interaction [32][33][34] and, in general, may be written as…”

Section: Introductionmentioning

confidence: 99%

Non-Markovian dynamics of single- and two-qubit systems interacting with Gaussian and non-Gaussian fluctuating transverse environments

Rossi

Paris

2016

The Journal of Chemical Physics

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We address the interaction of single- and two-qubit systems with an external transverse fluctuating field and analyze in detail the dynamical decoherence induced by Gaussian noise and random telegraph noise (RTN). Upon exploiting the exact RTN solution of the time-dependent von Neumann equation, we analyze in detail the behavior of quantum correlations and prove the non-Markovianity of the dynamical map in the full parameter range, i.e., for either fast or slow noise. The dynamics induced by Gaussian noise is studied numerically and compared to the RTN solution, showing the existence of (state dependent) regions of the parameter space where the two noises lead to very similar dynamics. We show that the effects of RTN noise and of Gaussian noise are different, i.e., the spectrum alone is not enough to summarize the noise effects, but the dynamics under the effect of one kind of noise may be simulated with high fidelity by the other one.

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Section: Introductionmentioning

confidence: 99%

Non-Markovian dynamics of single- and two-qubit systems interacting with Gaussian and non-Gaussian fluctuating transverse environments

Rossi

Paris

2016

The Journal of Chemical Physics

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“…This means, in a general case, the phase is

ϕ_{g} = ϕ_{u} + δ ϕ

, where

δ ϕ

is the correction to the unitary phase induced by the presence of the environment. [ 44–49 ]…”

Section: Bodies In Relative Motion: Quantum Frictionmentioning

confidence: 99%

Detectable Signature of Quantum Friction on a Sliding Particle in Vacuum

et al. 2021

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Spatially separated bodies in a relative motion through vacuum experience a tiny friction force known as quantum friction (QF). This force has so far eluded experimental detection due to its small magnitude and short range. Quantitative details revealing traces of the QF in the degradation of the quantum coherence of a particle are presented. Environmentally induced decoherence for a particle sliding over a dielectric sheet can be decomposed into contributions of different signatures: one solely induced by the electromagnetic vacuum in the presence of the dielectric and another induced by motion. As the geometric phase (GP) has been proved to be a fruitful venue of investigation to infer features of the quantum systems, herein it is proposed to use the accumulated GP acquired by a particle as a QF sensor. Furthermore, an innovative experiment designed to track traces of QF by measuring the velocity dependence of corrections to the GP and coherence is proposed. The experimentally viable scheme presented can spark renewed optimism for the detection of non‐contact friction, with the hope that this non‐equilibrium phenomenon can be readily measured soon.

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“…With Eqs. (7) and (8) as the starting point and after some algebra, the master equation governing the dynamics of the reduced density matrix for the bipartite system can be written, in the secular approximation:…”

Section: Figmentioning

confidence: 99%

Boundary-induced effect encoded in the corrections to the geometric phase acquired by a bipartite two-level system

2020

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We present a bipartite two-level system coupled to electromagnetic quantum vacuum fluctuations through a general dipolar coupling. We derive the master equation in the framework of open quantum systems, assuming an environment composed of (i) solely vacuum fluctuations and (ii) the vacuum fluctuations and a conducting plate located at a fixed distance from the bipartite system. For both cases considered, we study the dynamics of the bipartite system and the temporal evolution of the concurrence of an initial entangled bipartite state. We further analyze the generation of entanglement due to the vacuum structure. Finally, we study the different induced contributions to the correction of the unitary geometric phase of a bipartite quantum state so as to explore the possibility of future experimental setups by considering the influence of boundaries conditions in vacuum.

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Corrections to the Berry phase in a solid-state qubit due to low-frequency noise

Cited by 23 publications

References 28 publications

Non-Markovian dynamics of single- and two-qubit systems interacting with Gaussian and non-Gaussian fluctuating transverse environments

Non-Markovian dynamics of single- and two-qubit systems interacting with Gaussian and non-Gaussian fluctuating transverse environments

Detectable Signature of Quantum Friction on a Sliding Particle in Vacuum

Boundary-induced effect encoded in the corrections to the geometric phase acquired by a bipartite two-level system

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