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We review recent progress and a number of future directions for applications of effective field theory methods to condensed matter systems broadly defined. Our emphasis is on areas that have allowed a fertile exchange of ideas between high…

High Energy Physics - Theory · Physics 2022-03-22 Tomas Brauner , Sean A. Hartnoll , Pavel Kovtun , Hong Liu , Márk Mezei , Alberto Nicolis , Riccardo Penco , Shu-Heng Shao , Dam Thanh Son

We derive a noncommutative theory description for vortex configurations in a complex field in 2+1 dimensions. We interpret the Magnus force in terms of the noncommutativity, and obtain some results for the quantum dynamics of the system of…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , A. Lopez

We investigate analytically the thermodynamical stability of vortices in the ground state of rotating 2-dimensional Bose-Einstein condensates confined in asymptotically homogeneous trapping potentials in the Thomas-Fermi regime. Our…

Mathematical Physics · Physics 2014-04-18 Tanja Rindler-Daller

We show that the effective theory of long wavelength low energy behavior of a dipolar Bose-Einstein condensate(BEC) with large dipole moments (treated as a classical spin) can be modeled using an extended Non-linear sigma model (NLSM) like…

Statistical Mechanics · Physics 2010-04-14 M. Takahashi , Sankalpa Ghosh , T. Mizushima , K. Machida

An effective theory is suggested for the particle-anti particle and the particle-particle modes of strongly disordered electron systems. The effective theory is studied in the framework of the saddle point expansion and found to support a…

Strongly Correlated Electrons · Physics 2007-05-23 Sebastiao Correia , Janos Polonyi , Jean Richert

We present a gauge and Lorentz invariant effective field theory model for the interaction of a charged scalar matter field with a magnetic monopole source, described by an external magnetic current. The quantum fluctuations of the monopole…

High Energy Physics - Theory · Physics 2024-01-23 K. Farakos , G. Koutsoumbas , Nick E. Mavromatos

We study the stability of vortices in trapped single-component Bose-Einstein condensates within self-consistent mean-field theories--especially we consider the Hartree-Fock-Bogoliubov-Popov theory and its recently proposed gapless…

Soft Condensed Matter · Physics 2009-11-07 S. M. M. Virtanen , M. M. Salomaa

Equilibrium vortex formation in rotating binary Bose gases with a rotating frequency higher than the harmonic trapping frequency is investigated theoretically. We consider the system being evaporatively cooled to form condensates and a…

Quantum Gases · Physics 2015-05-30 C. -H. Hsueh , T. -L. Horng , S. -C. Gou , W. C. Wu

The single vortex problem in a strongly correlated bosonic system is investigated self-consistently within the mean-field theory of the Bose-Hubbard model. Near the superfluid-Mott transition, the vortex core has a tendency toward the…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu , Han-dong Chen , Jiang-ping Hu , Shou-Cheng Zhang

We solve the time-dependent Gross-Pitaevskii in 2-D to simulate the flow of an object through a dilute Bose condensate trapped in a harmonic well. We demonstrate vortex formation and analyze the process in terms of the accumulation of…

Statistical Mechanics · Physics 2007-05-23 B. Jackson , J. F. McCann , C. S. Adams

We consider a two-dimensional weakly interacting ultracold Bose gas whose constituents are two-level atoms. We study the effects of a synthetic density-dependent gauge field that arises from laser-matter coupling in the adiabatic limit with…

Quantum Gases · Physics 2016-01-20 Salvatore Butera , Manuel Valiente , Patrik Öhberg

We consider the canonical quantization of an ordinary fluid. The resulting long-distance effective field theory is derivatively coupled, and therefore strongly coupled in the UV. The system however exhibits a number of peculiarities,…

High Energy Physics - Theory · Physics 2011-06-23 Solomon Endlich , Alberto Nicolis , Riccardo Rattazzi , Junpu Wang

Recent experiments have revealed the tantalizing possibility of fabricating lattice electronic systems strongly coupled to quantum fluctuations of electromagnetic fields, e.g., by means of geometry confinement from a cavity or artificial…

Strongly Correlated Electrons · Physics 2022-05-03 Jiajun Li , Lukas Schamriß , Martin Eckstein

A second order phase transition induced by a rapid quench can lock out topological defects with densities far exceeding their equilibrium expectation values. We use quantum kinetic theory to show that this mechanism, originally postulated…

Quantum Physics · Physics 2009-10-31 J. R. Anglin , W. H. Zurek

The geometry-gauge interplay constitutes a fundamental issue in quantum physics, with profound implications spanning from quantum gravity to topological matter. Here, we investigate the dynamic effects of geometry-gauge interplay in…

Quantum Gases · Physics 2025-07-08 Xi-Yu Chen , Lijia Jiang , Tao Yang , Jun-Hui Zheng

We theoretically study the coherent expansion of a Bose-Einstein condensate in the presence of a confining impenetrable hard-wall potential. The nonlinear dynamics of the macroscopically coherent matter field results in rich and complex…

Statistical Mechanics · Physics 2009-10-31 J. Ruostekoski , B. Kneer , W. P. Schleich

The theory of vortex motion in a dilute superfluid of inhomogeneous density demands a boundary layer approach, in which different approximation schemes are employed close to and far from the vortex, and their results matched smoothly…

Soft Condensed Matter · Physics 2009-11-07 J. R. Anglin

An effective field theory approach is developed for calculating the thermodynamic properties of a field theory at high temperature $T$ and weak coupling $g$. The effective theory is the 3-dimensional field theory obtained by dimensional…

High Energy Physics - Phenomenology · Physics 2016-09-01 Eric Braaten , Agustin Nieto

We study with lattice Monte Carlo simulations the interactions and macroscopic behaviour of a large number of vortices in the 3-dimensional U(1) gauge+Higgs field theory, in an external magnetic field. We determine non-perturbatively the…

High Energy Physics - Lattice · Physics 2009-10-31 K. Kajantie , M. Laine , T. Neuhaus , A. Rajantie , K. Rummukainen

We study an effective field theory of a vortex lattice in a two-dimensional neutral rotating superfluid. Utilizing particle-vortex dualities, we explore its formulation in terms of a $U(1)$ gauge theory coupled to elasticity, that at low…

Strongly Correlated Electrons · Physics 2024-08-29 Yi-Hsien Du , Ho Tat Lam , Leo Radzihovsky