Search Results - "Atas, Y."
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1
Distribution of the ratio of consecutive level spacings in random matrix ensembles
Published in Physical review letters (21-02-2013)“…We derive expressions for the probability distribution of the ratio of two consecutive level spacings for the classical ensembles of random matrices. This…”
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Journal Article -
2
Multifractality of eigenfunctions in spin chains
Published in Physical review. E, Statistical, nonlinear, and soft matter physics (03-08-2012)“…We investigate different one-dimensional quantum spin-1/2 chain models, and by combining analytical and numerical calculations we prove that their ground state…”
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3
Collective many-body bounce in the breathing-mode oscillations of a Tonks-Girardeau gas
Published in Physical review. A, Atomic, molecular, and optical physics (25-10-2017)Get full text
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4
SU(2) hadrons on a quantum computer via a variational approach
Published in Nature communications (11-11-2021)“…Quantum computers have the potential to create important new opportunities for ongoing essential research on gauge theories. They can provide simulations that…”
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5
Calculation of multi-fractal dimensions in spin chains
Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences (28-01-2014)“…It was demonstrated in Atas & Bogomolny (2012 Phys. Rev. E 86, 021104) that the ground-state wave functions for a large variety of one-dimensional spin- models…”
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6
Simulating one-dimensional quantum chromodynamics on a quantum computer: Real-time evolutions of tetra- and pentaquarks
Published in Physical review research (01-09-2023)“…Quantum chromodynamics (QCD)—the theory of quarks and gluons—has been studied for decades, but it is yet to be fully understood. A recent example is the…”
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7
Nonequilibrium quantum thermodynamics of determinantal many-body systems: Application to the Tonks-Girardeau and ideal Fermi gases
Published 12-10-2020“…Phys. Rev. A 102, 043312 (2020) We develop a general approach for calculating the characteristic function of the work distribution of quantum many-body systems…”
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8
Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap
Published 04-08-2019“…Phys. Rev. A 100, 043602 (2019) We study the out-of-equilibrium dynamics of a finite-temperature harmonically trapped Tonks-Girardeau gas induced by periodic…”
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9
Calculation of multi-fractal dimensions in spin chains
Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences (28-01-2014)“…It was demonstrated in Atas & Bogomolny (2012 Phys. Rev. E. 86, 021104) that the ground-state wave functions for a large variety of one-dimensional spin½…”
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Journal Article -
10
Exact nonequilibrium dynamics of finite-temperature Tonks-Girardeau gases
Published 30-04-2017“…Phys. Rev. A 95, 043622 (2017) Describing finite-temperature nonequilibrium dynamics of interacting many-particle systems is a notoriously challenging problem…”
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Journal Article -
11
Collective many-body bounce in the breathing-mode oscillations of a Tonks-Girardeau gas
Published 15-12-2016“…Phys. Rev. A 96, 041605 (2017) We analyse the breathing-mode oscillations of a harmonically quenched Tonks-Giradeau (TG) gas using an exact finite-temperature…”
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Journal Article -
12
Calculation of multifractal dimensions in spin chains
Published 23-07-2013“…It was demonstrated in [Phys. Rev. E 86, 021104, (2012)], that the ground-state wave functions for a large variety of one-dimensional spin-1/2 models are…”
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Journal Article -
13
Joint probability densities of level spacing ratios in random matrices
Published 30-05-2013“…J. Phys. A: Math. Theor. 46, 355204 (2013) We calculate analytically, for finite-size matrices, joint probability densities of ratios of level spacings in…”
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14
The distribution of the ratio of consecutive level spacings in random matrix ensembles
Published 21-12-2012“…Phys. Rev. Lett. 110, 084101 (2013) We derive expressions for the probability distribution of the ratio of two consecutive level spacings for the classical…”
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Journal Article -
15
Exact nonequilibrium dynamics of finite-temperature Tonks-Girardeau gases
Published in Physical review. A, Atomic, molecular, and optical physics (18-04-2017)“…Describing finite-temperature nonequilibrium dynamics of interacting many-particle systems is a notoriously challenging problem in quantum many-body physics…”
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Journal Article -
16
Quantum Ising model in transverse and longitudinal fields: chaotic wave functions
Published 15-03-2015“…The construction of a statistical model for eigenfunctions of the Ising model in transverse and longitudinal fields is discussed in detail for the chaotic…”
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17
Implementation of robot formation control and navigation using real-time panel method
Published in 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems (01-10-2010)“…In this paper, potential flow calculations for incompressible inviscid flows are used to develop a collision free navigation algorithm for a robot swarm…”
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Conference Proceeding -
18
Spectral density of the quantum Ising model in two fields: Gaussian and multi-Gaussian approximations
Published 27-02-2014“…Spectral density of quantum Ising model in two fields for large but finite number of spins $N$, is discussed in detail. When all coupling constants are of the…”
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19
Painleve solution of an integral equation
Published 22-09-2011“…It is demonstrated that a certain integral equation can be solved using the Painleve equation of third kind. Inversely, a special solution of this Painleve…”
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20
Cooperative chemical concentration map building using Decentralized Asynchronous Particle Swarm Optimization based search by mobile robots
Published in 2010 IEEE/RSJ International Conference on Intelligent Robots and Systems (01-10-2010)“…In this article the main objective is to perform a search in an unknown area with multiple robots in order to determine the region with highest chemical gas…”
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Conference Proceeding