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The phenomenon of Bose-Einstein condensation of dilute gases in traps is reviewed from a theoretical perspective. Mean-field theory provides a framework to understand the main features of the condensation and the role of interactions…

Condensed Matter · Physics 2009-10-31 F. Dalfovo , S. Giorgini , L. P. Pitaevskii , S. Stringari

We investigate a Bose-Fermi mixture in a three-dimensional optical lattice, trapped in a harmonic potential. Using Generalized Dynamical Mean-Field theory, which treats the Bose-Bose and Bose-Fermi interaction in a fully non-perturbative…

Quantum Gases · Physics 2011-04-18 Michiel Snoek , Irakli Titvinidze , Immanuel Bloch , Walter Hofstetter

We investigate the mass dependence of the Araki-Uhlmann relative entropy between a localized coherent excitation and the vacuum state of a free scalar quantum field on the $(1+d)$-dimensional Minkowski spacetime for $d = 1, 2, 3$. In this…

High Energy Physics - Theory · Physics 2025-11-26 João G. A. Caribé , Marcelo S. Guimarães , Itzhak Roditi , Silvio P. Sorella , Arthur F. Vieira

We introduce higher dimensions into the problem of Bose-Einstein condensates in a double-well potential, taking into account orbital angular momentum. We completely characterize the eigenstates of this system, delineating new regimes via…

Quantum Gases · Physics 2013-12-10 M. A. Garcia-March , D. R. Dounas-Frazer , Lincoln D. Carr

Divergence-free pseudopotentials for spatially even and odd-wave interactions in spinor Fermi gases in tight atom waveguides are derived. The Fermi-Bose mapping method is used to relate the effectively one-dimensional fermionic many-body…

Soft Condensed Matter · Physics 2009-11-10 M. D. Girardeau , M. Olshanii

We derive analytically the leading beyond-mean field contributions to the zero-temperature equation of state and to the fermionic quasi-particle residue and effective mass of a dilute Bose-Fermi mixture in two dimensions. In the repulsive…

We present extensive \textit{ab initio} path integral Monte Carlo (PIMC) simulations of two-dimensional quantum dipole systems in a harmonic confinement, taking into account both Bose- and Fermi-statistics. This allows us to study the…

Computational Physics · Physics 2020-08-12 Tobias Dornheim

We investigate a two-level Unruh-DeWitt detector coupled to a massless scalar field or its proper time derivative in $(1+1)$-dimensional Minkowski spacetime, in a quantum state whose correlation structure across the Rindler horizon mimics…

High Energy Physics - Theory · Physics 2015-08-11 Jorma Louko

In this study, we investigate the fermionic Schwinger effect in the presence of a constant magnetic field within $(1+3)-$dimensional Minkowski spacetime, considering both constant and pulsed electric fields. We analyze the correlations…

High Energy Physics - Theory · Physics 2025-01-28 Shagun Kaushal

We study cold atomic gases in a disorder potential and analyze the correlations between different systems subjected to the same disorder landscape. Such independent copies with the same disorder landscape are known as replicas. While in…

Other Condensed Matter · Physics 2008-09-23 S. Morrison , A. Kantian , A. J. Daley , H. G. Katzgraber , M. Lewenstein , H. P. Büchler , P. Zoller

We consider one-dimensional solitons in a binary Bose-Einstein condensate with linear coupling between the components, trapped in an optical-lattice potential. The inter-species and intra-species interactions may be both repulsive or…

Other Condensed Matter · Physics 2009-11-13 Sadhan K. Adhikari , Boris A. Malomed

Creation of scalar massless particles in two-dimensional Minkowski space-time--as predicted by the dynamical Casimir effect--is studied for the case of a semitransparent mirror initially at rest, then accelerating for some finite time,…

Quantum Physics · Physics 2008-11-26 Jaume Haro , Emilio Elizalde

We examine a quantised massive scalar field in $(1+1)$-dimensional spatially compact cosmological spacetimes in which the early time and late time expansion laws provide distinguished definitions of Fock "in" and "out" vacua, with the…

General Relativity and Quantum Cosmology · Physics 2021-05-19 Vladimir Toussaint , Jorma Louko

Quantum superpositions of macroscopically distinguishable states having distinct phases can be created with a Bose-Einstein condensate trapped in a periodic potential. The experimental signature is contained in the phase distribution of the…

Other Condensed Matter · Physics 2008-11-06 F. Piazza , L. Pezze' , A. Smerzi

If an Unruh-DeWitt detector moves with a uniform acceleration in Fock-space vacuum, then the transition rate of the detector is proportional to the thermal spectrum. It is well known that the transition rate of the detector crucially…

High Energy Physics - Theory · Physics 2019-09-05 Gopal Sardar , Subhashish Banerjee

We give a closed expression for the Minkowski (1+1)-dimensional metric in the radar coordinates of an arbitrary non-inertial observer O in terms of O's proper acceleration. Knowledge of the metric allows the non-inertial observer to perform…

Classical Physics · Physics 2007-05-23 E. Minguzzi

We investigate the expansion of bosons and fermions in a homogeneous lattice after a sudden removal of the trapping potential using exact numerical methods. As a main result, we show that in one dimension, both bosonic and fermionic Mott…

Quantum Gases · Physics 2013-12-18 L. Vidmar , S. Langer , I. P. McCulloch , U. Schneider , U. Schollwoeck , F. Heidrich-Meisner

We present a method to detect the presence and depth of dark solitons within repulsive one-dimensional harmonically trapped Bose-Einstein condensates. For a system with one soliton, we prove that the shift of the density in Fourier space…

Quantum Gases · Physics 2020-10-20 H. A. J. Middleton-Spencer , N. G. Parker , L. Galantucci , C. F. Barenghi

When independent Bose-Einstein condensates (BEC), described quantum mechanically by Fock (number) states, are sent into interferometers, the measurement of the output port at which the particles are detected provides a binary measurement,…

Quantum Physics · Physics 2015-05-13 Franck Laloë , William Mullin

An intriguing correspondence between ingredients in geometric function theory related to the famous Bieberbach conjecture (de Branges' theorem) and the non-perturbative crossing symmetric representation of 2-2 scattering amplitudes of…

High Energy Physics - Theory · Physics 2021-07-09 Parthiv Haldar , Aninda Sinha , Ahmadullah Zahed