Decoherence and Matter Wave Interferometry

Qureshi, Tabish; Venugopalan, Anu

doi:10.1142/s0217979208039113

Cited by 9 publications

(16 citation statements)

References 22 publications

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“…Since the weakest contribution to decoherence comes from the interfering amplitudes between nearest neighbour pairs of slits, the four-slit pattern decays to a two-slit interference pattern whose coherence is destroyed much more slowly. With the passage of time, decoherence eventually leads to a further loss in contrast and the eventual washing away of the fringes [25](see Figure 3). Figure 4 illustrates this for five-slit interference.…”

Section: Interference With Decoherencementioning

confidence: 99%

Monitoring decoherence via measurement of quantum coherence

Venugopalan

Mishra

Qureshi

2019

Physica A: Statistical Mechanics and its Applications

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A multi-slit interference experiment, with which-way detectors, in the presence of environment induced decoherence, is theoretically analyzed. The effect of environment is modeled via a coupling to a bath of harmonic oscillators. Through an exact analysis, an expression for C, a recently introduced measure of coherence, of the particle at the detecting screen is obtained as a function of the parameters of the environment. It is argued that the effect of decoherence can be quantified using the measured coherence value which lies between zero and one. For the specific case of two slits, it is shown that the decoherence time can be obtained from the measured value of the coherence, C , thus providing a novel way to quantify the effect of decoherence via direct measurement of quantum coherence. This would be of significant value in many current studies that seek to exploit quantum superpositions for quantum information applications and scalable quantum computation.

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Section: Interference With Decoherencementioning

confidence: 99%

Monitoring decoherence via measurement of quantum coherence

Venugopalan

Mishra

Qureshi

2019

Physica A: Statistical Mechanics and its Applications

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“…where τ c is the coherence time, which is a function of different physical parameters (the system mass, temperature, etc.). In the literature one can find detailed models which allow one to get an estimation of coherence times in different physical situations [24,25,28].…”

Section: Decoherence In the Double-slit Experimentsmentioning

confidence: 99%

Contextuality, decoherence and quantum trajectories

Sanz

Borondo

2009

Chemical Physics Letters

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Here we analyze the relationship between quantum contextuality and decoherence in interference experiments with matter particles by means of a simple reduced quantum-trajectory model, which attempts to simulate the behavior of the projections of multi-dimensional, system-plus-environment Bohmian trajectories onto the subspace of the reduced system. This model allows us to understand the crossing of the subsystem trajectories as a combined effect of interference quenching and erasure of ``which-way'' information, which can be of utility to interpret decoherence effects in many-dimensional systems where full Bohmian treatments become prohibitive computationally.Comment: 15 pages, 3 figure

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“…Because of the empirical nature of τ c (or, equivalently, the value of Λ t after a full flight) in our model, temperature does not appear explicitly despite its important role in decoherence phenomena. Within the context of the doubleslit experiment, this issue has been treated in some theoretical [30,31] and computational (references (e) and (f) in [25]) works in the literature. In this way, following references [30,31], τ c would already encompass the effects of the temperature.…”

Section: Reduced Trajectory Dynamics In the Double-slit Experimentsmentioning

confidence: 99%

“…Within the context of the doubleslit experiment, this issue has been treated in some theoretical [30,31] and computational (references (e) and (f) in [25]) works in the literature. In this way, following references [30,31], τ c would already encompass the effects of the temperature. Note that this dependence on temperature is quite different from that in semiclassical treatments; in the first case it is simply a parameter, where in the latter it appears as a consequence of considering the bath of oscillators at the equilibrium at a given temperature (i.e., the oscillators follow a Boltzmann distribution).…”

Section: Reduced Trajectory Dynamics In the Double-slit Experimentsmentioning

confidence: 99%

A quantum trajectory description of decoherence

Sanz

Borondo

2007

Eur. Phys. J. D

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A complete theoretical treatment in many problems relevant to physics, chemistry, and biology requires considering the action of the environment over the system of interest. Usually the environment involves a relatively large number of degrees of freedom, this making the problem numerically intractable from a purely quantum-mechanical point of view. To overcome this drawback, a new class of quantum trajectories is proposed. These trajectories, based on the same grounds as Bohmian ones, are solely associated to the system reduced density matrix, since the evolution of the environment degrees of freedom is not considered explicitly. Within this approach, environment effects come into play through a time-dependent damping factor that appears in the system equations of motion. Apart from their evident computational advantage, this type of trajectories also results very insightful to understand the system decoherence. In particular, here we show the usefulness of these trajectories analyzing decoherence effects in interference phenomena, taking as a working model the well-known double-slit experiment. PACS. 03.65.-w Quantum mechanics (general) -03.65.Ta Foundations of quantum mechanics; measurement theory -03.65.Yz Decoherence; open systems; quantum statistical methods -03.75.Dg Atom and neutron interferometry

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Decoherence and Matter Wave Interferometry

Cited by 9 publications

References 22 publications

Monitoring decoherence via measurement of quantum coherence

Monitoring decoherence via measurement of quantum coherence

Contextuality, decoherence and quantum trajectories

A quantum trajectory description of decoherence

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