Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Ataș, Y."'
Publikováno v:
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 in a time-varying potential, whose many-body wave function can be cast in the Slater determinant form. Our results are app
Externí odkaz:
http://arxiv.org/abs/2005.07313
Publikováno v:
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 modulation of the trap frequency. We give explicit exact solutions for the real-space density and momentum distributions of
Externí odkaz:
http://arxiv.org/abs/1908.01291
Publikováno v:
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 dynamical theory. We predict a striking collective manifestation of impenetrability---a collective many-body bounce effect
Externí odkaz:
http://arxiv.org/abs/1612.04593
Publikováno v:
Phys. Rev. A 95, 043622 (2017)
Describing finite-temperature nonequilibrium dynamics of interacting many-particle systems is a notoriously challenging problem in quantum many-body physics. Here we provide an exact solution to this problem for a system of strongly interacting boson
Externí odkaz:
http://arxiv.org/abs/1608.08720
Autor:
Atas, Y. Y., Bogomolny, E.
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 spins is large, each wave function coefficient has the Gaussian distri
Externí odkaz:
http://arxiv.org/abs/1503.04508
Autor:
Atas, Y. Y., Bogomolny, E.
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 same order, spectral densities in the bulk are well approximated by a Gaussian function whi
Externí odkaz:
http://arxiv.org/abs/1402.6858
Autor:
Atas, Y. Y., Bogomolny, E.
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 natural spin-z basis. We present here the details of analytical derivations
Externí odkaz:
http://arxiv.org/abs/1307.6016
Publikováno v:
J. Phys. A: Math. Theor. 46, 355204 (2013)
We calculate analytically, for finite-size matrices, joint probability densities of ratios of level spacings in ensembles of random matrices characterized by their associated confining potential. We focus on the ratios of two spacings between three c
Externí odkaz:
http://arxiv.org/abs/1305.7156
Publikováno v:
Phys. Rev. Lett. 110, 084101 (2013)
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 recently introduced to study spectral properties of many-body problems,
Externí odkaz:
http://arxiv.org/abs/1212.5611
Autor:
Atas, Y. Y., Bogomolny, E.
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 expressed as the ratio of two infinite series of spheroidal functions with kno
Externí odkaz:
http://arxiv.org/abs/1109.4787