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We investigate gravitational analogue models to describe slowly rotating objects (e.g., dark-matter halos, or boson stars) in terms of Bose-Einstein condensates, trapped in their own gravitational potentials. We begin with a modified…

General Relativity and Quantum Cosmology · Physics 2014-11-26 Florian Kuhnel , Cornelius Rampf

We extend Einstein's hole argument into the quantum domain, and argue that quantum observables for quasiclassical superpositional states of gravitational fields require additional information to be well-defined, namely, relative positions…

Quantum Physics · Physics 2009-02-13 I. Schmelzer

Bogoliubov's description of Bose gases relies on the linear dynamics of noninteracting quasiparticles on top of a homogeneous condensate. Here, we theoretically explore the weakly-nonlinear regime of a one-dimensional photon superfluid in…

Quantum Gases · Physics 2024-07-17 Marzena Ciszak , Francesco Marino

We consider a Bose-Einstein condensate interacting with a gravitational wave for the case when the gravitational fluctuations are quantized in order to incorporate quantum gravity effects into the theory. We observe that the solution of the…

High Energy Physics - Theory · Physics 2026-02-05 Soham Sen , Sunandan Gangopadhyay

We study the Bloch dynamics of a quasi one-dimensional Bose-Einstein condensate of cold atoms in a tilted optical lattice modeled by a Hamiltonian of Bose-Hubbard type: The corresponding mean-field system described by a discrete nonlinear…

Quantum Physics · Physics 2015-05-13 Andrey R. Kolovsky , Hans Jürgen Korsch , Eva-Maria Graefe

We present a general formalism for performing a time-dependent Bogoliubov analysis of a dynamically unstable Bose-Einstein condensate, which extends the quasiparticle projection method of Morgan et al. [Phys. Rev. A 57, 3818 (1998)] to…

Quantum Gases · Physics 2025-12-17 Asier Izquierdo , Maria Arazo , Sofía Martínez-Garaot , Michele Modugno

The quantum instability of the mean-field theory for identical bosons is shown to be described by an appropriate Bogoliubov transformation. A connection between the quantum and classical linear stability theories is indicated. It is argued…

Other Condensed Matter · Physics 2009-11-11 Valery S. Shchesnovich

We discuss the (re-)construction of quasiprobability representations from generic measurements, including noisy ones. Based on the measurement under study, quasiprobabilities and the associated concept of nonclassicality are introduced. A…

Quantum Physics · Physics 2025-11-07 Jan Sperling , Laura Ares , Elizabeth Agudelo

Like classical fluids, quantum gases may suffer from hydrodynamic instabilities. Our paper develops a quantum version of the classical stability analysis in fluids, the Bogoliubov theory of elementary excitations in unstable Bose-Einstein…

Soft Condensed Matter · Physics 2007-05-23 U. Leonhardt , T. Kiss , P. Ohberg

We discuss the interaction of a quantum impurity with a one-dimensional degenerate Bose gas forming a Bose-polaron. In three spatial dimensions the quasiparticle is typically well described by the extended Fr\"ohlich model, in full analogy…

Quantum Gases · Physics 2021-04-20 Jonas Jager , Ryan Barnett , Martin Will , Michael Fleischhauer

We investigate a molecular quantum rotor in a two-dimensional Bose-Einstein condensate. The focus is on studying the angulon quasiparticle concept in the crossover from few- to many-body physics. To this end, we formulate the problem in…

Spatially homogeneous universes can be described in (loop) quantum gravity as condensates of elementary excitations of space. Their treatment is easiest in the second-quantised group field theory formalism which allows the adaptation of…

General Relativity and Quantum Cosmology · Physics 2014-07-24 Steffen Gielen

We present a generalized quasi-particle theory for bosonic lattice systems, which naturally contains all relevant collective modes, including the Higgs amplitude in the strongly correlated superfluid. In contrast to Bogoliubov theory, this…

Quantum Gases · Physics 2014-01-21 Ulf Bissbort , Michael Buchhold , Walter Hofstetter

We investigate quantum gravity corrections due to the generalized uncertainty principle on three-dimensional weakly interacting Bose gases at both zero and finite temperatures using the time-dependent Hatree-Fock-Bogoliubov theory. We…

Quantum Gases · Physics 2022-02-23 Abdelaali Boudjemaa

Quantum fluctuations of Bose-Einstein condensates trapped in disordered lattices are studied by inhomogeneous Bogoliubov theory. Weak-disorder perturbation theory is applied to compute the elastic scattering rate as well as the renormalized…

Quantum Gases · Physics 2013-03-15 Christopher Gaul , Cord A. Müller

We investigate the electromagnetic wave absorption process in a coherently coupled two-component Bose-Einstein condensate model in different dimensionality at zero temperature. As the analogue of phonon in the solid state physics, the…

Quantum Gases · Physics 2025-05-29 Xinyu Zhu , Meng Sun

The dynamics of a two-dimensional Bose-Einstein condensate in a presence of quantum fluctuations is studied. The properties of localized density distributions, quantum droplets (QDs), are analyzed by means of the variational approach. It is…

Pattern Formation and Solitons · Physics 2021-02-03 Sherzod R. Otajonov , Eduard N. Tsoy , Fatkhulla Kh. Abdullaev

We consider a simple realization of an event horizon in the flow of a one-dimensional two-component Bose-Einstein condensate. Such a condensate has two types of quasiparticles; In the system we study, one corresponds to density fluctuations…

Quantum Gases · Physics 2013-10-04 P. -É. Larré , N. Pavloff

Some general features of the spectrum of the Hartree-Fock-Bogoliubov equations are examined. Special attention is paid to the asymptotic behavior of the single quasiparticle wave functions (s.qp.w.fs.), matter density distribution and…

Nuclear Theory · Physics 2007-05-23 Aurel Bulgac

In the same way as the realization of some of the famous gedanken experiments imagined by the founding fathers of quantum mechanics has recently led to the current renewal of the interpretation of quantum physics, it seems that the most…

General Relativity and Quantum Cosmology · Physics 2021-11-19 Gilles Cohen-Tannoudji , Jean-Pierre Gazeau