On atomic time-of-arrival measurements with a laser of finite beam width

Damborenea, J. A.; Egusquiza, I. L.; Hegerfeldt, Gerhard C.; Muga, J. G.

doi:10.1088/0953-4075/36/12/320

Cited by 36 publications

(39 citation statements)

References 25 publications

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“…[30]. Other approaches to the time of arrival include (1) the use of complex potentials modeling the absorption of the particle by a detector at x = L [31][32][33][34]; (2) the consideration of specific detector models [22,[35][36][37] or idealized clocks [38];…”

Section: Introductionmentioning

confidence: 99%

Time-of-arrival probabilities for general particle detectors

Anastopoulos

Savvidou

2012

Phys. Rev. A

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We develop a general framework for the construction of probabilities for the time of arrival in quantum systems. The time of arrival is identified with the time instant when a transition in the detector's degrees of freedom takes place. Thus, its definition is embedded within the larger issue of defining probabilities with respect to time for general quantum transitions. The key point in our analysis is that we manage to reduce the problem of defining a quantum time observable to a mathematical model where time is associated to a transition from a subspace of the Hilbert space of the total system to its complementary subspace. This property makes it possible to derive a general expression for the probability for the time of transition, valid for any quantum system, with the only requirement that the time of transition is correlated with a definite macroscopic record. The framework developed here allows for the consideration of any experimental configuration for the measurement of the time of arrival and it also applies to relativistic systems with interactions described by quantum field theory. We use the method in order to describe time-of-arrival measurements in high-energy particle reactions and for a rigorous derivation of the time-integrated probabilities in particle oscillations.Comment: 27 pages, latex. Changed title and added a conclusions section. Version to appear in PR

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Section: Introductionmentioning

confidence: 99%

Time-of-arrival probabilities for general particle detectors

Anastopoulos

Savvidou

2012

Phys. Rev. A

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“…From (17) it follows that ∆ is independent of k ± , and consequences of this will be discussed in more detail in the next subsection. For the x components of the wave vector inside the laser region one then obtains…”

Section: Matching Conditionsmentioning

confidence: 94%

Quantum optical time-of-arrival model in three dimensions

Hannstein

Hegerfeldt

Muga

2005

J. Phys. B: At. Mol. Opt. Phys.

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“…To impose the matching conditions, it is convenient to use a two-channel transfer matrix formalism [21].…”

Section: Solution Of the Stationary Schrödinger Equationmentioning

confidence: 99%

Causal description of the interaction of a two-level atom with a classical field

Mousavi¹,

Golshani²

2008

Phys. Scr.

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We discuss Bohmian paths of the two-level atoms moving in a waveguide through an external resonance-producing field, perpendicular to the waveguide, and localized in a region of finite diameter. The time spent by a particle in a potential region is not well-defined in the standard quantum mechanics, but it is well-defined in the Bohmian mechanics. Bohm's theory is used for calculating the average time spent by a transmitted particle inside the field region and the arrival-time distributions at the edges of the field region. Using the Runge-Kutta method for the integration of the guidance law, some Bohmian trajectories were also calculated. Numerical results are presented for the special case of a Gaussian wave packet.

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On atomic time-of-arrival measurements with a laser of finite beam width

Cited by 36 publications

References 25 publications

Time-of-arrival probabilities for general particle detectors

Time-of-arrival probabilities for general particle detectors

Quantum optical time-of-arrival model in three dimensions

Causal description of the interaction of a two-level atom with a classical field

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