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This thesis considers out-of-equilibrium dynamics of strongly interacting non-relativistic Fermi gases in several two and three dimensional geometries. The tools of second-order hydrodynamics and gauge-gravity duality will be utilized to…

量子气体 · 物理学 2018-04-30 William Lewis

We construct a family of holographic duals to anisotropic states in a strongly coupled gauge theory. On the field theory side the anisotropy is generated by giving a vacuum expectation value to a dimension three operator. We obtain our…

高能物理 - 理论 · 物理学 2020-05-20 Carlos Hoyos , Niko Jokela , José Manuel Penín , Alfonso V. Ramallo

We develop a meanfield treatment of a polarized trapped Fermi gas with dipole-dipole interactions. Our approach is based on self-consistent semiclassical Hartree-Fock theory that accounts for direct and exchange interactions. We discuss our…

量子气体 · 物理学 2010-09-16 D. Baillie , P. B. Blakie

We consider the entanglement entropy in the dS/CFT correspondence.In Einstein gravity on de Sitter spacetime we propose the holographic entanglement entropy as the analytic continuation of the extremal surface in Euclidean anti-de Sitter…

高能物理 - 理论 · 物理学 2015-04-29 Yoshiki Sato

We use gauge-gravity duality to compute entanglement entropy in a non-conformal background with an energy scale $\Lambda$. At zero temperature, we observe that entanglement entropy decreases by raising $\Lambda$. However, at finite…

高能物理 - 理论 · 物理学 2017-08-02 M. Rahimi , M. Ali-Akbari , M. Lezgi

We investigate the behavior of the entanglement entropy of a confining gauge theory near cosmological singularities using gauge/gravity duality. As expected, the coefficients of the UV divergent terms are given by simple geometric…

高能物理 - 理论 · 物理学 2017-07-26 Netta Engelhardt , Gary T. Horowitz

In this article, we explore the divergences and universal terms of the holographic entanglement entropy for singular regions in anisotropic and nonconformal theories that are holographically dual to geometries with a hyperscaling violation,…

高能物理 - 理论 · 物理学 2022-10-25 Mostafa Ghasemi , Shahrokh Parvizi

For a general maximally symmetric (spherically, plane or hyperbola symmetric) holographic screen, we rewrite the equations of motion of general Lovelock gravity into the form of some generalized first law of thermodynamics, under certain…

高能物理 - 理论 · 物理学 2019-08-19 Yu Tian , Xiao-Ning Wu

When a quantum system is divided into subsystems, their entanglement entropies are subject to an inequality known as "strong subadditivity". For a field theory this inequality can be stated as follows: given any two regions of space $A$ and…

高能物理 - 理论 · 物理学 2008-11-26 Matthew Headrick , Tadashi Takayanagi

The Renyi entropies and entanglement entropy of 1+1 CFTs with gravity duals can be computed by explicit construction of the bulk spacetimes dual to branched covers of the boundary geometry. At the classical level in the bulk this has…

高能物理 - 理论 · 物理学 2013-12-16 Taylor Barrella , Xi Dong , Sean A. Hartnoll , Victoria L. Martin

In this paper, we study the fermionic excitations near the quantum criticality using gauge/gravity duality. This is motivated by exploring the Fermi surface evolution near the quantum criticality. We construct the gravity dual of…

高能物理 - 理论 · 物理学 2017-08-23 Yushu Song , Shu-Qing Guo

In this paper we show that in addition to the known minimal surfaces which appear in the literature for computing the entanglement entropy there are other minimal surfaces with non-zero extrinsic curvature. We use the approach of…

高能物理 - 理论 · 物理学 2016-02-09 Ahmad Ghodsi , Mohammad Moghadassi

We investigate the scaling of the entanglement entropy in an infinite translational invariant Fermionic system of any spatial dimension. The states under consideration are ground states and excitations of tight-binding Hamiltonians with…

量子物理 · 物理学 2009-11-11 Michael M. Wolf

We explore the question of which shape a manifold is compelled to take when immersed in another one, provided it must be the extremum of some functional. We consider a family of functionals which depend quadratically on the extrinsic…

高能物理 - 理论 · 物理学 2017-10-25 Piermarco Fonda , Vishnu Jejjala , Alvaro Veliz-Osorio

We present an alternative representation for the anisotropic Eliashberg equations of superconductivity, whose numerical solution yields an efficiency gain of several orders of magnitude with respect to the conventional representation in…

超导电性 · 物理学 2020-10-15 Jon Lafuente-Bartolome , Idoia G. Gurtubay , Asier Eiguren

In this paper, we show that a higher derivative theory, such as New Massive Gravity, allows the existence of new entangling surfaces with non-zero extrinsic curvature. We perform the analysis for Lifshitz and Warped $AdS$ space times,…

高能物理 - 理论 · 物理学 2016-10-06 Luca Basanisi , Shankhadeep Chakrabortty

In this paper we study the holographic entanglement entropy in a large N noncommutative gauge field theory with two $\theta$ parameters by Ryu-Takayanagi prescription (RT-formula). We discuss what contributions the presence of…

高能物理 - 理论 · 物理学 2016-12-16 Tuo Jia , Zhaojie Xu

We perform a holographic calculation of the Entanglement R\'enyi entropy $S_q(\mu,\lambda)$, for spherical entangling surfaces in boundary CFT's with Einstein-Gauss-Bonnet-Maxwell holographic gravitational duals. We find that for…

高能物理 - 理论 · 物理学 2015-07-31 Georgios Pastras , Dimitrios Manolopoulos

We here investigate the entanglement structure of the ground state of a (3+1)-dimensional U(1) quantum spin liquid, which is described by the deconfined phase of a compact U(1) gauge theory. A gapless photon is the only low-energy…

强关联电子 · 物理学 2017-06-14 Michael Pretko , T. Senthil

We calculate entanglement entropy in a non-relativistic field theory described by the Schr\"odinger operator. We demonstrate that the entropy is characterized by i) the area law and ii) UV divergences that are identical to those in the…

高能物理 - 理论 · 物理学 2010-05-12 Sergey N. Solodukhin