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Related papers: Slow interaction ramps in trapped many-particle sy…

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Non-adiabatic interaction ramps are considered for trapped Bose-Einstein condensates. The deviation from adiabaticity is characterized through the heating or residual energy produced during the ramp. We find that the dependence of the heat…

Quantum Gases · Physics 2013-03-27 F. E. Zimmer , Masudul Haque

The recent experimental implementation of condensed matter models in optical lattices has motivated research on their nonequilibrium behavior. Predictions on the dynamics of superconductors following a sudden quench of the pairing…

Quantum Gases · Physics 2010-06-04 Michael Moeckel , Stefan Kehrein

We explore the near adiabatic dynamics in a non-Hermitian quantum many-body system by investigating a finite-time ramp of the imaginary vector potential in the interacting Hatano-Nelson model. The excess energy, the Loschmidt echo, and the…

Quantum Physics · Physics 2025-03-24 Léonce Dupays , Adolfo del Campo , Balázs Dóra

We consider the nonadiabatic energy fluctuations of a many-body system in a time-dependent harmonic trap. In the presence of scale-invariance, the dynamics becomes self-similar and the nondiabatic energy fluctuations can be found in terms…

Quantum Physics · Physics 2020-05-05 Mathieu Beau , Adolfo del Campo

It is generally believed that a generic system can be reversibly transformed from one state into another by sufficiently slow change of parameters. A standard argument favoring this assertion is based on a possibility to expand the energy…

Statistical Mechanics · Physics 2008-11-26 Anatoli Polkovnikov , Vladimir Gritsev

We use non-equilibrium dynamical mean field theory and a real-time diagrammatic impurity solver to study the heating associated with time-dependent changes of the interaction in a fermionic Hubbard model. Optimal ramp shapes U(t) which…

Strongly Correlated Electrons · Physics 2011-05-03 Nikolai Eurich , Martin Eckstein , Philipp Werner

We study the out of equilibrium dynamics of the Fermionic Hubbard Model induced by a linear ramp of the repulsive interaction $U$ from the metallic state through the Mott transition. To this extent we use a time dependent Gutzwiller…

Strongly Correlated Electrons · Physics 2015-06-03 Matteo Sandri , Marco Schiro' , Michele Fabrizio

We consider an atomic Fermi gas confined in a uniform optical lattice potential, where the atoms can pair into molecules via a magnetic field controlled narrow Feshbach resonance. Thus by adjusting the magnetic field the portion of…

Other Condensed Matter · Physics 2009-07-20 O. Soe Sorensen , N. Nygaard , P. B. Blakie

We analyze the dynamics of two atoms with a short-ranged pair interaction in a one-dimensional harmonic trap with time-dependent frequency. Our analysis is focused on two representative cases: (i) a sudden change of the trapping frequency…

Quantum Gases · Physics 2019-07-15 M. Ebert , A. Volosniev , H. -W. Hammer

We investigate the ground-state properties of trapped fermion systems described by the Hubbard model with an external confining potential. We discuss the universal behaviors of systems in different regimes: from few particles, i.e. in…

Quantum Gases · Physics 2014-03-05 Adriano Angelone , Massimo Campostrini , Ettore Vicari

We observe an enhanced visibility of charge-density-wave correlations in a cold-atom realization of the attractive Hubbard model following a rapid boost of the interaction strength. The interaction boost associates nonlocal pairs into…

Quantum Gases · Physics 2026-05-18 Botond Oreg , Carter Turnbaugh , Jens Hertkorn , Ningyuan Jia , Martin Zwierlein

We study a general quantum system interacting with environment modeled by the bosonic heat bath of Caldeira and Leggett type. General interaction Hamiltonians are considered that commute with the system's Hamiltonian so that there is no…

Quantum Physics · Physics 2014-11-18 D. Mozyrsky , V. Privman

We calculate entropy-temperature curves for interacting bosons in unit filled optical lattices for both homogeneous and harmonically trapped situations, and use them to understand how adiabatic changes in the lattice depth affect the…

Statistical Mechanics · Physics 2009-11-11 Ana Maria Rey , Guido Pupillo , J. V. Porto

We present a theoretical study of the dynamical behavior of a gas made of ultracold fermionic atoms, which during their motions can collide with a much smaller number of thermal bosonic impurities. The atoms are confined inside harmonic…

Other Condensed Matter · Physics 2007-05-23 P. Capuzzi , P. Vignolo , F. Toschi , S. Succi , M. P. Tosi

We study the excitation energy for slow changes of the hopping parameter in the Falicov-Kimball model with nonequilibrium dynamical mean-field theory. The excitation energy vanishes algebraically for long ramp times with an exponent that…

Strongly Correlated Electrons · Physics 2010-06-01 Martin Eckstein , Marcus Kollar

Based on the standard many-fermion field theory, the authors construct models describing ultracold fermions in a 1D optical lattices by implementing a mode expansion of the fermionic field operator where modes, in addition to space…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Francesco Massel , Vittorio Penna

The quantum adiabatic theorem is a fundamental result in quantum mechanics, with a multitude of applications, both theoretical and practical. Here, we investigate the dynamics of adiabatic processes for quantum many-body systems %in detail…

Quantum Physics · Physics 2025-08-15 Vibhu Mishra , Salvatore Manmana , Stefan Kehrein

We discuss the emergence of nonadiabatic behavior in the dynamics of the order parameter in a low-dimensional quantum many-body system subject to a linear ramp of one of its parameters. While performing a ramp within a gapped phase seems to…

Statistical Mechanics · Physics 2014-09-25 Anna Maraga , Pietro Smacchia , Michele Fabrizio , Alessandro Silva

We present a comprehensive study of the thermodynamic properties of the three-dimensional fermionic Hubbard model, with application to cold fermionic atoms subject to an optical lattice and a trapping potential. Our study is focused on the…

We study the dynamical behavior of doped electronic systems subject to a global ramp of the repulsive Hubbard interaction. We start with formulating a real-time generalization of the fluctuation-exchange approximation. Implementing this…

Strongly Correlated Electrons · Physics 2019-05-01 Sharareh Sayyad , Naoto Tsuji , Abolhassan Vaezi , Massimo Capone , Martin Eckstein , Hideo Aoki
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