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We construct states describing Bose Einstein condensates at finite temperature for a relativistic massive complex scalar field with $|\varphi|^4$-interaction. We start with the linearised theory over a classical condensate and construct…

Mathematical Physics · Physics 2020-11-12 Romeo Brunetti , Klaus Fredenhagen , Nicola Pinamonti

The Phenomenon of multi-step Bose-Einstein condensation (BEC) of a finite number of non-interacting bosons in anisotropic traps has been demonstrated by studing the populations on eight subsets of states. The cusp in the specific heat is…

Condensed Matter · Physics 2009-10-31 Wenji Deng

The ground and excited states of a weakly interacting and dilute Bose-Einstein condensed gas, confined in a completely anisotropic harmonic oscillator potential, are determined at zero temperature within the Bogoliubov approximation. The…

Statistical Mechanics · Physics 2009-10-31 B. I. Schnieder , D. L. Feder

It is pointed out that simulation computation of energy performed so far cannot be used to decide if the ground state of solid 4He has the number of lattice sites equal to the number of atoms (commensurate state) or if it is different…

Other Condensed Matter · Physics 2009-11-11 D. E. Galli , L. Reatto

Corrections to the zero-temperature Thomas-Fermi description of a dilute interacting condensed Bose-Einstein gas confined in an isotropic harmonic trap arise due to the presence of a boundary layer near the condensate surface. Within the…

Statistical Mechanics · Physics 2009-10-30 Alexander L. Fetter , David L. Feder

Quantum fluctuations in time-dependent, harmonically-trapped Bose-Einstein condensates are studied within Bogoliubov theory. An eigenmode expansion of the linear field operators permits the diagonalization of the Bogoliubov-de Gennes…

Other Condensed Matter · Physics 2009-03-04 Michael Uhlmann

In this paper we develop a gapless theory of BEC which can be applied to both trapped and homogeneous gases at zero and finite temperature. The many-body Hamiltonian for the system is written in a form which is approximately quadratic with…

Statistical Mechanics · Physics 2009-10-31 S. A. Morgan

Two-component Bose-Einstein condensates are considered within a number conserving version of the Bogoliubov theory. We show that the Bogoliubov vacuum state can be obtained in the particle representation in a simple form. We predict…

Other Condensed Matter · Physics 2009-11-13 Bartlomiej Oles , Krzysztof Sacha

A condensate with two internal states coupled by external electromagnetic radiation, is described by coupled Gross Pitaevskii equations, whose eigenstates are analogous to the dressed states of quantum optics. We solve for these eigenstates…

Condensed Matter · Physics 2009-10-31 P. B. Blakie , R. J. Ballagh , C. W. Gardiner

One-particle reduced density matrix functional theory would potentially be the ideal approach for describing Bose-Einstein condensates. It namely replaces the macroscopically complex wavefunction by the simple one-particle reduced density…

Quantum Gases · Physics 2021-04-13 Julia Liebert , Christian Schilling

We study the detailed out of equilibrium time evolution of a homogeneous Bose-Einstein condensate.We consider a nonrelativistic quantum theory for a self-interacting complex scalar field, immersed in a thermal bath, as an effective…

Soft Condensed Matter · Physics 2009-10-31 Daniel G. Barci , E. S. Fraga , Rudnei O. Ramos

Three hyperfine states of Bose-condensed sodium atoms, recently optically trapped, can be described as a spin-1 Bose gas. We study the behaviour of this system in a magnetic field, and construct the phase diagram, where the temperature of…

Statistical Mechanics · Physics 2009-10-31 M. V. Simkin , E. G. D. Cohen

A new method is proposed for the calculation of full density matrix and thermodynamic functions of a many-boson system. Explicit expressions are obtained in the pair correlations approximation for an arbitrary temperature. The theory is…

Quantum Physics · Physics 2007-05-23 I. O. Vakarchuk

We construct a many-body Gaussian variational approach for the two-dimensional trapped Bose gas in the condensate phase. Interaction between particles is modelized by a generalized pseudo-potential of zero range that allows recovering…

Other Condensed Matter · Physics 2009-11-10 Ludovic Pricoupenko

We identify all possible classes of solutions for two-component Bose-Einstein condensates (BECs) within the Thomas-Fermi (TF) approximation, and check these results against numerical simulations of the coupled Gross-Pitaevskii equations…

Condensed Matter · Physics 2007-05-23 M. Trippenbach , K. Goral , K. Rzazewski , B. A. Malomed , Y. B. Band

We theoretically investigate the creation of squeezed states of a Bose-Einstein Condensate (BEC) trapped in a magnetic double well potential. The number or phase squeezed states are created by modulating the tunnel coupling between the two…

Quantum Physics · Physics 2017-12-13 Georg Jäger , Tarik Berrada , Jörg Schmiedmayer , Thorsten Schumm , Ulrich Hohenester

In this paper, we study Bose-Einstein condensation of Rydberg-dressed atoms considering finite range interactions. We use Hartree-Fock-Bogoliubov approximation based on Mean-Field approach. Moreover, within this approximation modified by…

Quantum Gases · Physics 2022-10-03 Asliddin Khudoyberdiev , Zabardast Narzikulov , B. Tanatar

We discuss the Bloch-state solutions of the stationary Gross-Pitaevskii equation and of the Bogoliubov equations for a Bose-Einstein condensate in the presence of a one-dimensional optical lattice. The results for the compressibility,…

Condensed Matter · Physics 2007-05-23 Meret Kraemer , Chiara Menotti , Lev Pitaevskii , Sandro Stringari

The behavior of a Bose--Einstein condensate in a homogeneous gravitational field is analyzed. We consider two different trapping potentials. Firstly, the gas is inside a finite container. The effects of the finiteness of the height of the…

Quantum Gases · Physics 2011-03-15 J. I. Rivas Sánchez , A. Camacho

I show that the reason why many properties of water are notoriously at odds with current models is the low dissociation energy of the H-bond, which leads to the instability of the Maxwell-Boltzmann distribution. Bose-Einstein condensation…

Statistical Mechanics · Physics 2024-11-05 François Fillaux