scholarly journals QUANTUM INTERFERENCE EFFECTS IN SLOWLY ROTATING NUT SPACE–TIME

2009 ◽  
Vol 18 (01) ◽  
pp. 107-118 ◽  
Author(s):  
V. S. MOROZOVA ◽  
B. J. AHMEDOV
Keyword(s):  
Phase Shift ◽  
Quantum Interference ◽  
Relativistic Quantum ◽  
Additional Term ◽  
Space Time ◽  
Sagnac Effect ◽  
Interference Effects ◽  
General Relativistic ◽  
Shift Effect ◽  
The One

General relativistic quantum interference effects in a slowly rotating NUT space–time, such as the Sagnac effect and the phase shift effect of interfering particles in a neutron interferometer, are considered. It was found that in the case of the Sagnac effect, the influence of the NUT parameter is becoming important due to the fact that the angular velocity of the locally nonrotating observer must be larger than the one in the Kerr space–time. In the case of neutron interferometry, it is found that due to the presence of the NUT parameter, an additional term in the phase shift of interfering particles emerges. This term can be, in principle, detected by a sensitive interferometer and the derived results could be further used in experiments to detect the gravitomagnetic charge. Finally, as an example, we apply the obtained results to the calculation of the UCN (ultra-cold neutrons) energy level modification in a slowly rotating NUT space–time.

scholarly journals QUANTUM INTERFERENCE EFFECTS IN SPACETIME OF SLOWLY ROTATING COMPACT OBJECTS IN BRANEWORLD

2010 ◽  
Vol 25 (04) ◽  
pp. 243-256 ◽  
Author(s):  
A. I. MAMADJANOV ◽  
A. A. HAKIMOV ◽  
S. R. TOJIEV
Keyword(s):  
Phase Shift ◽  
Quantum Interference ◽  
Relativistic Quantum ◽  
Additional Term ◽  
Compact Objects ◽  
Sagnac Effect ◽  
Interference Effects ◽  
Upper Limit ◽  
Neutron Interferometer ◽  
Shift Effect

The relativistic quantum interference effects in the spacetime of slowly rotating object in braneworld as the Sagnac effect and phase shift effect of interfering particle in neutron interferometer are derived in unified way. It is found that in the case of the Sagnac effect, the influence of brane parameter is becoming important due to the fact that the angular velocity of the locally non-rotating observer is increased by the brane tension. In the case of neutron interferometry, it is found that an additional term in the phase shift of interfering particle emerges due to the presence of the brane parameter Q*. From the obtained expressions of phase shift in Mach–Zehnder interferometer upper limit for brane parameter has been estimated. From the results of the recent experiments we have obtained upper limit for the tidal charge as Q* ≲ 107 cm 2. Finally, as an example, we apply the obtained results to the calculation of the (ultra-cold neutrons) energy level modification in the gravitational field of slowly rotating gravitating object in the braneworld.

scholarly journals QUANTUM INTERFERENCE EFFECTS IN HOŘAVA–LIFSHITZ GRAVITY

2010 ◽  
Vol 25 (37) ◽  
pp. 3115-3127 ◽  
Author(s):  
ABDULLO HAKIMOV ◽  
BOBUR TURIMOV ◽  
AHMADJON ABDUJABBAROV ◽  
BOBOMURAT AHMEDOV
Keyword(s):  
Phase Shift ◽  
Quantum Interference ◽  
Gordon Equation ◽  
Relativistic Quantum ◽  
Sagnac Effect ◽  
Interference Effects ◽  
Nonrelativistic Approximation ◽  
Potential Term ◽  
Klein Gordon ◽  
Neutron Interferometer

The relativistic quantum interference effects in the spacetime of slowly rotating object in the Hořava–Lifshitz gravity as the Sagnac effect and phase shift of interfering particle in neutron interferometer are derived. We consider the extension of Kehagias–Sfetsos (KS) solution48 in the Hořava–Lifshitz gravity for the slowly rotating gravitating object. Using the covariant Klein–Gordon equation in the nonrelativistic approximation, it is shown that the phase shift in the interference of particles includes the gravitational potential term with the KS parameter ω. It is found that in the case of the Sagnac effect, the influence of the KS parameter ω is becoming important due to the fact that the angular velocity of the locally non-rotating observer is increased in Hořava gravity. From the results of the recent experiments50 we have obtained lower limit for the coupling KS constant as ω ≃ 1.25 ⋅10-25 cm -2. Finally, as an example, we apply the obtained results to the calculation of the UCN (ultra-cold neutrons) energy level modification in the gravitational field of slowly rotating gravitating object in the Hořava–Lifshitz gravity.

Quantum interference effects in conformal Weyl gravity

2017 ◽  
Vol 32 (19n20) ◽  
pp. 1750116 ◽  
Author(s):  
Abdullo Hakimov ◽  
Ahmadjon Abdujabbarov ◽  
Bakhtiyor Narzilloev
Keyword(s):  
Phase Shift ◽  
Fourth Order ◽  
Quantum Interference ◽  
Order Theory ◽  
Interference Effects ◽  
Nonrelativistic Approximation ◽  
Weyl Space ◽  
Weyl Gravity ◽  
The Earth ◽  
Neutron Interferometer

We investigate the effects of conformal gravity as a phase shift by quantum interference and alternate approach of Sagnac effect which is based on the anisotropy of the coordinate speed of light in the fourth-order theory of conformal Weyl space–time. In the nonrelativistic approximation, it has been shown that the phase shift of the interfering particle in neutron interferometer includes the potential terms with the Weyl parameter of the conformal fourth-order theory. Comparing the results of the measurement of the gravitational redshift by the interferometer in the gravitational field of the earth with our theoretical prediction, it has been obtained upper limit for the Weyl parameter as [Formula: see text].

scholarly journals NEGATIVE ENERGIES AND THE LIMIT OF CLASSICAL SPACE–TIME

1998 ◽  
Vol 13 (20) ◽  
pp. 1637-1643 ◽  
Author(s):  
ADAM D. HELFER
Keyword(s):  
Energy Density ◽  
Relativistic Quantum ◽  
Relativistic Effects ◽  
Negative Energy ◽  
Space Time ◽  
Quantum Field Theories ◽  
Negative Energy Density ◽  
Measuring Devices ◽  
Classical Space ◽  
General Relativistic

Relativistic quantum field theories predict negative energy densities, contravening a basic tenet of classical physics and a fundamental hypothesis of the deepest results in classical general relativity. These densities may be sources for exotic general relativistic effects, and may also lead to pathologies. Combining Ford's "quantum inequality" with quantum restrictions on measuring devices, we present an argument that these densities nevertheless satisfy a sort of "operational" positivity: the energy in a region, plus the energy of an isolated device designed to detect or trap the exotic energy, must be non-negative. This will suppress at least some pathological effects. If we suppose also that Einstein's field equation holds, then no local observer can measure the geometry of a negative energy density regime accurately enough to infer a negative energy density form the curvature. This means that the physics of a negative energy regime cannot be adequately modeled by a classical space–time.

High fidelity universal set of quantum gates using non-adiabatic rapid passage

2009 ◽  
Vol 9 (3&4) ◽  
pp. 290-316
Author(s):  
R. Li ◽  
M. Hoover ◽  
F. Gaitan
Keyword(s):  
Electric Fields ◽  
Quantum Interference ◽  
Fault Tolerant ◽  
Quantum Gates ◽  
High Fidelity ◽  
Interference Effects ◽  
Adiabatic Rapid Passage ◽  
The One ◽  
Parameter Values ◽  
Rapid Passage

Numerical simulation results are presented which suggest that a class of non-adiabatic rapid passage sweeps first realized experimentally in 1991 should be capable of implementing a universal set of quantum gates \uniset\ that operate with high fidelity. The gates constituting \uniset\ are the Hadamard and NOT gates, together with variants of the phase, $\pi /8$, and controlled-phase gates. The universality of \uniset\ is established by showing that it can construct the universal set consisting of Hadamard, phase, $\pi /8$, and controlled-NOT gates. Sweep parameter values are provided which simulations indicate will produce the different gates in \uniset , and for which the gate error probability $P_{e}$ satisfies: (i)~$P_{e}<10^{-4}$ for the one-qubit gates; and (ii)~$P_{e}<1.27\times 10^{-3}$ for the modified controlled-phase gate. The sweeps in this class are non-composite and generate controllable quantum interference effects that allow the gates in \uniset\ to operate non-adiabatically while maintaining high fidelity. These interference effects have been observed using NMR, and it has previously been shown how these rapid passage sweeps can be applied to atomic systems using electric fields. Here we show how these sweeps can be applied to both superconducting charge and flux qubit systems. The simulations suggest that the universal set of gates \uniset\ produced by these rapid passage sweeps shows promise as possible elements of a fault-tolerant scheme for quantum computing.

scholarly journals High-fidelity single-qubit gates using non-adiabatic rapid passage

2007 ◽  
Vol 7 (7) ◽  
pp. 594-608
Author(s):  
R. Li ◽  
M. Hoover ◽  
F. Gaitan
Keyword(s):  
Quantum Interference ◽  
Fault Tolerant ◽  
Quantum Gates ◽  
High Fidelity ◽  
Interference Effects ◽  
Adiabatic Rapid Passage ◽  
Single Qubit ◽  
The One ◽  
Error Probabilities ◽  
Rapid Passage

Numerical simulation results are presented which suggest that a class of non-adiabatic rapid passage sweeps first realized experimentally in 1991 should be capable of implementing a set of quantum gates that is universal for one-qubit unitary operations and whose elements operate with error probabilities $P_{e}<10^{-4}$. The sweeps are non-composite and generate controllable quantum interference effects which allow the one-qubit gates produced to operate non-adiabatically while maintaining high accuracy. The simulations suggest that the one-qubit gates produced by these sweeps show promise as possible elements of a fault-tolerant scheme for quantum computing.

A GENERAL RELATIVISTIC MODEL FOR SAX J1808.4-3658

2002 ◽  
Vol 17 (14) ◽  
pp. 827-838 ◽  
Author(s):  
R. SHARMA ◽  
S. MUKHERJEE ◽  
MIRA DEY ◽  
JISHNU DEY
Keyword(s):  
Equation Of State ◽  
Space Time ◽  
Strange Star ◽  
Compact Stars ◽  
Relativistic Model ◽  
X Ray ◽  
General Relativistic ◽  
Low Mass ◽  
The One ◽  
Stellar Configuration

We discuss the physical applicability of a model for a class of compact stars, employing Vaidya–Tikekar12 geometry of space–time. It is shown that the model can generate an equation of state (EOS) very similar to the one obtained by earlier workers for SAX J1808.4-3658 (SAX in short), assumed to be a strange star. The stellar configuration, as described by the model, is shown to be stable under radial perturbations. This may explain why the star SAX is known to be very stable compared to other low mass binary X-ray emitters.

scholarly journals PROBABILITY IN RELATIVISTIC QUANTUM MECHANICS AND FOLIATION OF SPACE–TIME

2007 ◽  
Vol 22 (32) ◽  
pp. 6243-6251 ◽  
Author(s):  
HRVOJE NIKOLIĆ
Keyword(s):  
Quantum Mechanics ◽  
Wave Equations ◽  
Integral Curve ◽  
Relativistic Quantum ◽  
Space Time ◽  
Relativistic Quantum Mechanics ◽  
Relativistic Wave ◽  
Probability Densities ◽  
The Many ◽  
Conserved Currents

The conserved probability densities (attributed to the conserved currents derived from relativistic wave equations) should be nonnegative and the integral of them over an entire hypersurface should be equal to one. To satisfy these requirements in a covariant manner, the foliation of space–time must be such that each integral curve of the current crosses each hypersurface of the foliation once and only once. In some cases, it is necessary to use hypersurfaces that are not spacelike everywhere. The generalization to the many-particle case is also possible.

Quantum interference effects in percolated metal networks

1994 ◽  
Vol 194-196 ◽  
pp. 1109-1110 ◽  
Author(s):  
M.E. Gershenson ◽  
P.M. Echternach ◽  
H.M. Bozler ◽  
A.L. Bogdanov ◽  
B. Nilsson
Keyword(s):  
Quantum Interference ◽  
Interference Effects
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