Ramsey fringes in atomic Rydberg wave packets

Noordam, L. D.; Duncan, D. I.; Gallagher, T. F.

doi:10.1103/physreva.45.4734

Cited by 202 publications

(104 citation statements)

References 8 publications

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“…The loss of coherence of the particle's dipolar moment becomes relevant in any Ramsey interferometry experiment, where the depolarization of the atom could be macroscopically observed by means of the Ramsey fringes. In the case of a Rydberg atom, this phenomenon could be also observed as a decay of the Raby oscillations [13,14].…”

Section: Introductionmentioning

confidence: 90%

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Dissipation and decoherence effects on a moving particle in front of a dielectric plate

Farías

Lombardo

2016

Phys. Rev. D

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On this work, we consider a particle moving in front of a dielectric plate, and study two of the most relevant effects of the vacuum field fluctuations: the dissipation, and the decoherence of the particle's internal degrees of freedom. We consider the particle to follow a classical, macroscopically-fixed trajectory. To study the dissipative effects, we calculate the in-out effective action by functionally integrating over the vacuum field and the microscopic degrees of freedom of both the plate and the particle. This in-out effective action develops an imaginary part, hence a non-vanishing probability for the decay (because of friction) of the initial vacuum state. We analyze how the dissipation is affected by the relative velocity between the particle and the plate and the properties of the microscopic degrees of freedom. In order to study the effects of decoherence over the internal degrees of freedom of the particle, we calculate the CTP or Schwinger-Keldysh influence action, by functionally integrating over the vacuum field and the microscopic degrees of freedom of the plate. We estimate the decoherence time as the time needed by two different quantum configurations (of the internal degree of freedom of the particle) to be possible to differentiate from one another. We analyze the way in which the presence of the mirror affects the decoherence, and the possible ways to maximize or reduce its effects.

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Section: Introductionmentioning

confidence: 90%

“…This decoherence time will become relevant in any Ramsey interferometry experiment [13]. For times larger than t D , the Ramsey fringes will no longer be distinguishable, expressing the depolarization of the atom.…”

Section: Decoherence Of the Particle's Internal Degrees Of Freedommentioning

confidence: 99%

Dissipation and decoherence effects on a moving particle in front of a dielectric plate

Farías

Lombardo

2016

Phys. Rev. D

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“…On the other hand, if the wave packet is away from the core when the probe pulse arrives, the interaction between the two is very weak. If the probe pulse is identical to the pulse which originally excited the wave packet, the two can interact coherently [22]. In this case a type of Ramsey fringe is observed (rapid oscillation in the excited state population at the optical period).…”

Section: The Institute Of Optics University Of Rochester Rochestermentioning

confidence: 95%

Excitation of an Atomic Electron to a Coherent Superposition of Macroscopically Distinct States

1996

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“…[31], the decoherence process on the internal degree of freedom of a moving particle with constant velocity (parallel to a dielectric mirror) has been studied. The loss of quantum coherence of the particle's dipolar moment becomes relevant in any interferometry experiment, where the depolarisation of the atom could be macroscopically observed by means of the Ramsey fringes [32,33].…”

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confidence: 99%

Geometric phase corrections on a moving particle in front of a dielectric mirror

Lombardo¹,

Villar²

2017

EPL

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-We consider an atom (represented by a two-level system) moving in front of a dielectric plate, and study how traces of dissipation and decoherence (both effects induced by vacuum field fluctuations) can be found in the corrections to the unitary geometric phase accumulated by the atom. We consider the particle to follow a classical, macroscopically-fixed trajectory and integrate over the vacuum field and the microscopic degrees of freedom of both the plate and the particle in order to calculate friction effects. We compute analytically and numerically the non-unitary geometric phase for the moving qubit under the presence of the quantum vacuum field and the dielectric mirror. We find a velocity dependence in the correction to the unitary geometric phase due to quantum frictional effects. We also show in which cases decoherence effects could, in principle, be controlled in order to perform a measurement of the geometric phase using standard procedures as Ramsey-like interferometry.Introduction. -A system can retain the information of its motion when it undergoes a cyclic evolution in the form of a geometric phase, which was first put forward by Pancharatman in optics [1] and later studied explicitly by Berry in a general quantal system [2]. Since the work of Berry, the notion of geometric phases has been shown to have important consequences for quantum systems. Berry demonstrated that quantum systems could acquire phases that are geometric in nature. He showed that, besides the usual dynamical phase, an additional phase related to the geometry of the space state is generated during an adiabatic evolution. Since then, great progress has been achieved in this field. Due to its global properties, the geometric phase is propitious to construct fault tolerant quantum gates. In this line of work, many physical systems have been investigated to realise geometric quantum computation, such as NMR (Nuclear Magnetic Resonance) [3], Josephson junction [4], Ion trap [5] and semiconductor quantum dots [6]. The quantum computation scheme for the geometric phase has been proposed based on the Abelian or non-Abelian geometric concepts, and the geometric phase has been shown to be robust against faults in the presence of some kind of external noise due to the geometric nature of Berry phase [7][8][9]. It was therefore seen that interactions play an important role in the realisation of some specific operations. As the gates operate

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Ramsey fringes in atomic Rydberg wave packets

Cited by 202 publications

References 8 publications

Dissipation and decoherence effects on a moving particle in front of a dielectric plate

Dissipation and decoherence effects on a moving particle in front of a dielectric plate

Excitation of an Atomic Electron to a Coherent Superposition of Macroscopically Distinct States

Geometric phase corrections on a moving particle in front of a dielectric mirror

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