1k citations · 1.4k across the 13 of their papers we have counts for
14 papers
The phase diagram of quantum chromodynamics in one dimension on a quantum computer
Anton T. Than, Yasar Y. Atas, Abhijit Chakraborty +8
The quantum chromodynamics (QCD) phase diagram, which reveals the state of strongly interacting matter at different temperatures and densities, is key to answering open questions i…
Simulating one-dimensional quantum chromodynamics on a quantum computer: Real-time evolutions of tetra- and pentaquarks
Yasar Y. Atas, Jan F. Haase, Jinglei Zhang +4
Quantum chromodynamics - the theory of quarks and gluons - has been known for decades, but it is yet to be fully understood. A recent example is the prediction and experimental dis…
SU(2) hadrons on a quantum computer
Yasar Atas, Jinglei Zhang, Randy Lewis +3
We realize, for the first time, a non-Abelian gauge theory with both gauge and matter fields on a quantum computer. This enables the observation of hadrons and the calculation of t…
Nonequilibrium quantum thermodynamics of determinantal many-body systems: Application to the Tonks-Girardeau and ideal Fermi gases
Y. Y. Atas, A. Safavi-Naini, K. V. Kheruntsyan
We develop a general approach for calculating the characteristic function of the work distribution of quantum many-body systems in a time-varying potential, whose many-body wave fu…
Finite-temperature dynamics of a Tonks-Girardeau gas in a frequency-modulated harmonic trap
Y. Y. Atas, S. A. Simmons, K. V. Kheruntsyan
We study the out-of-equilibrium dynamics of a finite-temperature harmonically trapped Tonks-Girardeau gas induced by periodic modulation of the trap frequency. We give explicit exa…
Collective many-body bounce in the breathing-mode oscillations of a Tonks-Girardeau gas
Y. Y. Atas, I. Bouchoule, D. M. Gangardt +1
We analyse the breathing-mode oscillations of a harmonically quenched Tonks-Giradeau (TG) gas using an exact finite-temperature dynamical theory. We predict a striking collective m…
Exact nonequilibrium dynamics of finite-temperature Tonks-Girardeau gases
Y. Y. Atas, D. M. Gangardt, I. Bouchoule +1
Describing finite-temperature nonequilibrium dynamics of interacting many-particle systems is a notoriously challenging problem in quantum many-body physics. Here we provide an exa…
Quantum Ising model in transverse and longitudinal fields: chaotic wave functions
Y. Y. Atas, E. Bogomolny
The construction of a statistical model for eigenfunctions of the Ising model in transverse and longitudinal fields is discussed in detail for the chaotic case. When the number of…
Spectral density of the quantum Ising model in two fields: Gaussian and multi-Gaussian approximations
Y. Y. Atas, E. Bogomolny
Spectral density of quantum Ising model in two fields for large but finite number of spins , is discussed in detail. When all coupling constants are of the same order, spectral…
Calculation of multifractal dimensions in spin chains
Y. Y. Atas, E. Bogomolny
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 multifractals in the natur…
Joint probability densities of level spacing ratios in random matrices
Y. Y. Atas, E. Bogomolny, O. Giraud +2
We calculate analytically, for finite-size matrices, joint probability densities of ratios of level spacings in ensembles of random matrices characterized by their associated confi…
The distribution of the ratio of consecutive level spacings in random matrix ensembles
Y. Y. Atas, E. Bogomolny, O. Giraud +1
We derive expressions for the probability distribution of the ratio of two consecutive level spacings for the classical ensembles of random matrices. This ratio distribution was re…
Multifractality of eigenfunctions in spin chains
Yasar Yilmaz Atas, Eugene Bogomolny
We investigate different one-dimensional quantum spin-1/2 chain models and by combining analytical and numerical calculations prove that their ground state wave functions in the na…
Painleve solution of an integral equation
Y. Y. Atas, E. Bogomolny
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 equation can be expresse…