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In this work we analyze the validity of Lifshitz's theory for the case of non-equilibrium scenarios from a full quantum dynamical approach. We show that Lifshitz's framework for the study of the Casimir pressure is the result of considering…

We construct the first order hydrodynamics of quantum critical points with Lifshitz scaling and a spontaneously broken symmetry. The fluid is described by a combination of two flows, a normal component that carries entropy and a super-flow…

高能物理 - 理论 · 物理学 2014-10-13 Shira Chapman , Carlos Hoyos , Yaron Oz

We investigate far from equilibrium energy transport in strongly coupled quantum critical systems. Combining results from gauge-gravity duality, relativistic hydrodynamics, and quantum field theory, we argue that long-time energy transport…

高能物理 - 理论 · 物理学 2015-06-03 M. J. Bhaseen , Benjamin Doyon , Andrew Lucas , Koenraad Schalm

We construct the hydrodynamics of quantum critical points with Lifshitz scaling. There are new dissipative effects allowed by the lack of boost invariance. The formulation is applicable, in general, to any fluid with an explicit breaking of…

高能物理 - 理论 · 物理学 2015-06-15 Carlos Hoyos , Bom Soo Kim , Yaron Oz

We re-examine the emergence of a universal non-equilibrium steady state following a local quench between quantum critical heat baths in spatial dimensions greater than one. We show that energy transport proceeds by the formation of an…

高能物理 - 理论 · 物理学 2016-07-13 Andrew Lucas , Koenraad Schalm , Benjamin Doyon , M. J. Bhaseen

We construct non-equilibrium steady states in the Klein-Gordon theory in arbitrary space dimension $d$ following a local quench. We consider the approach where two independently thermalized semi-infinite systems, with temperatures $T_{\rm…

统计力学 · 物理学 2015-07-28 Benjamin Doyon , Andrew Lucas , Koenraad Schalm , M. J. Bhaseen

We consider two quantum Ising chains initially prepared at thermal equilibrium but with different temperatures and coupled at a given time through one of their end points. In the long-time limit the system reaches a non-equilibrium steady…

强关联电子 · 物理学 2013-10-29 Andrea De Luca , Jacopo Viti , Denis Bernard , Benjamin Doyon

We consider a covariant formulation of field theories with Lifshitz scaling, and analyze the energy-momentum tensor and the scale symmetry Ward identity. We derive the equation of state and the ideal Lifshitz hydrodynamics in agreement with…

高能物理 - 理论 · 物理学 2014-03-12 Carlos Hoyos , Bom Soo Kim , Yaron Oz

We present a construction of non-equilibrium steady states in one-dimensional quantum critical systems carrying energy and charge fluxes. This construction is based on a scattering approach within a real-time hamiltonian reservoir…

数学物理 · 物理学 2015-07-28 Denis Bernard , Benjamin Doyon

We consider a non-interacting one-dimensional gas accelerated by a constant and uniform external field. The energy absorbed from the field is transferred via elastic collisions to a bath of scattering obstacles. At gas-obstacle encounters…

统计力学 · 物理学 2009-11-11 Jaroslaw Piasecki , Rodrigo Soto

Non-equilibrium thermodynamics can provide strong advantages when compared to more standard equilibrium situations. Here, we present a general framework to study its application to concrete problems, which is valid also beyond the…

量子物理 · 物理学 2023-03-16 Qiongyuan Wu , Matteo Carlesso

We discuss the non-equilibrium critical phenomena in liquids, and the models for these phenomena based on local equilibrium and extended scaling assumptions. Special situations are proposed for experimental tests of the theory.…

统计力学 · 物理学 2009-10-31 Alexander Patashinski

We study a relativistic fluid with longitudinal boost invariance in a quantum-statistical framework as an example of a solvable non-equilibrium problem. For the free quantum field, we calculate the exact form of the expectation values of…

高能物理 - 理论 · 物理学 2022-03-14 D. Rindori , L. Tinti , F. Becattini , D. Rischke

We consider thermal transport between two reservoirs coupled by a quantum Ising chain as a model for non-equilibrium physics induced in quantum-critical many-body systems. By deriving rate equations based on exact expressions for the…

统计力学 · 物理学 2012-12-13 Malte Vogl , Gernot Schaller , Tobias Brandes

In these notes I explain how to describe one-dimensional quantum systems that are simultaneously near to, but not exactly at, a critical point, and in a far-from-equilibrium steady state. This description uses a density matrix on scattering…

统计力学 · 物理学 2012-12-06 Benjamin Doyon

We consider uncharged fluids without any boost symmetry on an arbitrary curved background and classify all allowed transport coefficients up to first order in derivatives. We assume rotational symmetry and we use the entropy current…

高能物理 - 理论 · 物理学 2020-08-27 Jan de Boer , Jelle Hartong , Emil Have , Niels A. Obers , Watse Sybesma

We investigate the emergence of universal dynamical scaling in quantum critical spin systems adiabatically driven out of equilibrium, with emphasis on quench dynamics which involves non-isolated critical points (i.e., critical regions) and…

统计力学 · 物理学 2009-11-13 Shusa Deng , Gerardo Ortiz , Lorenza Viola

We study the steady state of a three-level system in contact with a non-equilibrium environment, which is composed of two independent heat baths at different temperatures. We derive a master equation to describe the non-equilibrium process…

量子物理 · 物理学 2015-06-05 Sheng-Wen Li , C. Y. Cai , C. P. Sun

A Lifshitz black brane at generic dynamical critical exponent $z > 1$, with non-zero linear momentum along the boundary, provides a holographic dual description of a non-equilibrium steady state in a quantum critical fluid, with Lifshitz…

高能物理 - 理论 · 物理学 2022-04-05 Aruna Rajagopal , Larus Thorlacius

Quantum criticality provides an important route to revealing universal non-equilibrium behaviour. A canonical example of a quantum critical point is the Bose-Hubbard model, which we study under the application of an electric field. A…

强关联电子 · 物理学 2015-06-18 A. M. Berridge , A. G. Green
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