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We study an exactly-solvable model which shows a zero-temperature transition from a non-Fermi liquid to a Fermi liquid as a function of particle density. The quantum critical point separating these two states is not associated with the…

Strongly Correlated Electrons · Physics 2016-08-31 P. C. Howell , A. J. Schofield

Realistic models of quantum systems must include dissipative interactions with an environment. For weakly-damped systems the Lindblad-form Markovian master equation is invaluable for this task due to its tractability and efficiency. This…

Quantum Physics · Physics 2020-09-01 Gavin McCauley , Benjamin Cruikshank , Denys I. Bondar , Kurt Jacobs

We investigate the stability of a Luttinger liquid, upon suddenly coupling it to a dissipative environment. Within the Lindblad equation, the environment couples to local currents and heats the quantum liquid up to infinite temperatures.…

Strongly Correlated Electrons · Physics 2021-01-05 Ádám Bácsi , Catalin Pascu Moca , Gergely Zaránd , Balázs Dóra

A closed expression for the density operator of the damped harmonic oscillator is extracted from the master equation based on the Lindblad theory for open quantum systems. The entropy and effective temperature of the system are subsequently…

High Energy Physics - Theory · Physics 2007-05-23 A. Isar

A theoretical model for driving a two qubit system to a stable long-lived entanglement is discussed. The entire system is represented by two atoms, initially in ground states and disentangled, each one coupled to a separate cavity with the…

Quantum Physics · Physics 2012-04-26 Vitalie Eremeev , Víctor Montenegro , Miguel Orszag

We propose a nonperturbative quantum dissipation theory, in term of hierarchical quantum master equation. It may be used with a great degree of confidence to various dynamics systems in condensed phases. The theoretical development is…

Statistical Mechanics · Physics 2015-05-14 Rui-Xue Xu , Bao-Ling Tian , Jian Xu , Qiang Shi , YiJing Yan

Heat exchanged between an open quantum system and its environment exhibits fluctuations that carry crucial signatures of the underlying dynamics. Within the well-established two-point measurement scheme, we identify a 'heat operator,' whose…

We explore the non-equilibrium dynamics of a one-dimensional Fermi-Hubbard system as a sensitive testbed for the capabilities of the time-dependent two-particle reduced density matrix (TD2RDM) theory to accurately describe time-dependent…

Strongly Correlated Electrons · Physics 2024-02-06 Stefan Donsa , Fabian Lackner , Joachim Burgdörfer , Michael Bonitz , Benedikt Kloss , Angel Rubio , Iva Březinová

The urgent need for reliable simulation tools to match the extreme accuracy needed to control tailored quantum devices highlights the importance of understanding open quantum systems and their modeling. To this end, we compare here the…

In this paper we derive an exact master equation for two coupled quantum harmonic oscillators interacting via bilinear coupling with a common environment at arbitrary temperature made up of many harmonic oscillators with a general spectral…

Quantum Physics · Physics 2008-11-26 Chung-Hsien Chou , Ting Yu , B. L. Hu

The Feynman-Metropolis-Teller treatment of compressed atoms has been recently generalized to relativistic regimes and applied to the description of static and rotating white dwarfs in general relativity. We present here the extension of…

Solar and Stellar Astrophysics · Physics 2014-03-28 S. M. de Carvalho , M. Rotondo , Jorge A. Rueda , R. Ruffini

The non-Markovian dynamics of open quantum systems is still a challenging task, particularly in the non-perturbative regime at low temperatures. While the Stochastic Liouville-von Neumann equation (SLN) provides a formally exact tool to…

Statistical Mechanics · Physics 2016-12-21 Michael Wiedmann , Jürgen T. Stockburger , Joachim Ankerhold

This study investigates the thermal properties of the repulsive Fermi-Hubbard model with chemical potential using variational quantum algorithms, crucial in comprehending particle behaviour within lattices at high temperatures in condensed…

Quantum Physics · Physics 2024-06-17 Jack Y. Araz , Michael Spannowsky , Matthew Wingate

We study the dynamics of a Lipkin-Meshkov-Glick model in the presence of Markovian dissipation, with a focus on late-time dynamics and the approach to thermal equilibrium. Making use of a vectorized bosonic representation of the…

Quantum Physics · Physics 2020-10-07 Jan C. Louw , Michael Kastner , Johannes N. Kriel

A one dimensional experiment in granular dynamics is carried out to test the thermodynamic theory of weakly excited granular systems [Hayakawa and Hong, Phys. Rev. Lett. {\bf 78}, 2764(1997)] where granular particles are treated as spinless…

Materials Science · Physics 2009-09-25 Nathan C. Blanchard , Paul V. Quinn , Daniel Ou-Yang , Joseph Both , Daniel C. Hong

We describe the transition of $N$ weakly interacting atoms into a Bose-Einstein condensate within a number-conserving quantum master equation theory. Based on the separation of time scales for condensate formation and non-condensate…

Quantum Physics · Physics 2015-05-19 Alexej Schelle , Thomas Wellens , Dominique Delande , Andreas Buchleitner

We develop a Liouville perturbation theory for weakly driven and weakly open quantum systems in situations when the unperturbed system has a number of conservations laws. If the perturbation violates the conservation laws, it drives the…

Strongly Correlated Electrons · Physics 2018-01-24 Zala Lenarčič , Florian Lange , Achim Rosch

Contrary to conventional quantum mechanics, which treats measurement as instantaneous, here we explore a model for finite-time measurement. The main two-level system interacts with the measurement apparatus in a Markovian way described by…

Equations are obtained for the quantum distribution functions over discrete states in systems of non-interacting fermions and bosons with an arbitrary, including small, number of particles. The case of systems with two levels is considered…

Quantum Physics · Physics 2024-05-07 Yu. M. Poluektov , A. A. Soroka

In this paper, we solve a set of hierarchy equations for the reduced statistical density operator in a grand canonical ensemble for an identical many-body fermion system without or with two-body interaction. We take the single-particle…

Statistical Mechanics · Physics 2009-11-10 Liqiang Wei , Chiachung Sun