Correlations in interfering electrons irradiated by nonclassical microwaves

Chong, Chee Ching; Tsomokos, Dimitris I.; Vourdas, A.

doi:10.1103/physreva.66.033813

Cited by 13 publications

(11 citation statements)

References 27 publications

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“…Some aspects of this problem have been analyzed before. In fact, it is known that for charged particles, the interaction between the system (the particle) and the environment (the electromagnetic field) induces a rather small decoherence effect even if the initial state of the field is the vacuum [2,3,4,5,6,7,8]. A particularly simple expression for the decay in the fringe visibility was obtained in [2,3]: Assuming an electron in harmonic motion (with frequency Ω) along the relevant trajectories of the double slit experiment, the fringe visibility decays by a factor (1 − P ) 2 where P is the probability that a dipole p = eR oscillating at frequency Ω emits a photon (R is the characteristic size of the trajectory).…”

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confidence: 99%

Decoherence and recoherence from vacuum fluctuations near a conducting plate

2003

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The interaction between particles and the electromagnetic field induces decoherence generating a small suppression of fringes in an interference experiment. We show that if a double slit-like experiment is performed in the vicinity of a conducting plane, the fringe visibility depends on the position (and orientation) of the experiment relative to the conductor's plane. This phenomenon is due to the change in the structure of vacuum induced by the conductor and is closely related to the Casimir effect. We estimate the fringe visibility both for charged and for neutral particles with a permanent dipole moment. The presence of the conductor may tend to increase decoherence in some cases and to reduce it in others. A simple explanation for this peculiar behavior is presented.The interaction of a quantum system with its environment is responsible for the process of decoherence, which is one of the main ingredients to understand the quantum-classical transition [1]. In some cases, the interaction with the environment cannot be switched off. This is the case for charged particles that unavoidably interact with the electromagnetic field. As this interaction is fundamental, its effect is present in any interference experiment. In this letter we will analyze the influence of a conducting boundary in the decay of the visibility of interference fringes in a double slit experiment performed with charged particles (or neutral particles with a dipole moment). The reduction of fringe visibility is induced by the interaction between the particles and the electromagnetic field. Some aspects of this problem have been analyzed before. In fact, it is known that for charged particles, the interaction between the system (the particle) and the environment (the electromagnetic field) induces a rather small decoherence effect even if the initial state of the field is the vacuum [2,3,4,5,6,7,8]. A particularly simple expression for the decay in the fringe visibility was obtained in [2,3]: Assuming an electron in harmonic motion (with frequency Ω) along the relevant trajectories of the double slit experiment, the fringe visibility decays by a factor (1− P ) 2 where P is the probability that a dipole p = eR oscillating at frequency Ω emits a photon (R is the characteristic size of the trajectory). This result is in accordance with the idea that decoherence becomes effective when a record of the state of the system is irreversibly imprinted in the environment. In this case, after photon emission, if the electron follows the trajectory X 1 (t) of the double slit experiment (see Figure 1) it becomes correlated with a state of the environment |E 1 (t) . This state is different from the one with which the electron correlates if it follows the trajectory X 2 (t). The absolute value of the overlap between these two different states is precisely given by (1 − P )2 .In this letter we will analyze how the fringe visibility is modified when performing a double slit interference experiment in the vicinity of a conducting plane. Our analysis will serve ...

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confidence: 99%

Decoherence and recoherence from vacuum fluctuations near a conducting plate

2003

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“…[7]). Our contribution has been to consider that these microwaves are prepared in various nonclassical states [5,8,12]. Here we have quantified the effect of the quantum noise on electron interference.…”

Section: Discussionmentioning

confidence: 99%

Correlation Properties of Interfering Electrons in a Mesoscopic Ring Under Nonclassical Microwave Radiation

Tsomokos¹,

Chong²,

Vourdas³

2003

Symmetry and Structural Properties of Condensed Matter

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Interfering electrons in a mesoscopic ring are irradiated with both classical and nonclassical microwaves. The average intensity of the charges is calculated as a function of time and it is found that it depends on the nature of the irradiating electromagnetic field. For various quantum states of the microwaves, the electron autocorrelation function is calculated and it shows that the quantum noise of the external field affects the interference of the charges. Two-mode entangled microwaves are also considered and the results for electron average intensity and autocorrelation are compared with those of the corresponding separable state. In both cases, the results depend on whether the ratio of the two frequencies is rational or irrational.

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“…Here, motivated by the experimental realization of macroscopic superpositions of classical currents in opposite directions around a superconducting ring [1,2], we consider what happens to the A-B effect if the flux is in superposition of two states with different classical values. In distinction to references [3][4][5][6][7][8], this paper considers electrons which are always in regions with zero electric and magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Quantum measurement and the Aharonov–Bohm effect with superposed magnetic fluxes

Bradonjic

Swain

2013

Quantum Inf Process

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We consider the magnetic flux in a quantum mechanical superposition of two values and find that the Aharonov-Bohm effect interference pattern contains information about the nature of the superposition, allowing information about the state of the flux to be extracted without disturbance. The information is obtained without transfer of energy or momentum and by accumulated nonlocal interactions of the vector potential A with many charged particles forming the interference pattern, rather than with a single particle. We suggest an experimental test using already experimentally realized superposed currents in a superconducting ring and discuss broader implications.

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Correlations in interfering electrons irradiated by nonclassical microwaves

Cited by 13 publications

References 27 publications

Decoherence and recoherence from vacuum fluctuations near a conducting plate

Decoherence and recoherence from vacuum fluctuations near a conducting plate

Correlation Properties of Interfering Electrons in a Mesoscopic Ring Under Nonclassical Microwave Radiation

Quantum measurement and the Aharonov–Bohm effect with superposed magnetic fluxes

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