Description of the Bose-Einstein condensate state

Bose-Einstein condensation of the excitons in graphene is considered. We suggested the model spinor equation for neutral particles with short range interaction described the microscopic graphene excitons dynamic. Using this equation we derived quantum hydrodynamic equations for description of collective properties of excitons in graphene, particularly for the case when excitons being in the Bose-Einstein condensate (BEC) state. The dispersion of collective excitations in graphene excitons BEC is studied. We shown that frequency of collective excitations is proportional to the square root of the wave vector module: $ω\sim \sqrt{k}$ .Bose-Einstein condensation of the excitons in graphene is considered. We suggested the model spinor equation for neutral particles with short range interaction described the microscopic graphene excitons dynamic. Using this equation we derived quantum hydrodynamic equations for description of collective properties of excitons in graphene, particularly for the case when excitons being in the Bose-Einstein condensate (BEC) state. The dispersion of collective excitations in graphene excitons BEC is studied. We shown that frequency of collective excitations is proportional to the square root of the wave vector module: $ω\sim \sqrt{k}$.

arXiv:1201.6553Jan 31, 20120 citations

Properties of a Bose-Einstein Condensate

Springer eBooksDec 12, 20050 citations

Spectrum of light scattered from a 'deformed' Bose-Einstein condensate

Stefano Mancini, Vladimir I. Man’ko

The spectrum of light scattered from a Bose–Einstein condensate is studied in the limit of particle-number conservation. To this end, a description in terms of deformed bosons is invoked and this leads to a deviation from the usual predict spectrum’s shape as soon as the number of particles decreases. PACS number(s): 03.65.Fd (Algebraic methods), 03.75.Fi (Bose condensation), 42.50.Ct (Quantum statistical description of interaction of light and matter) 1 The recent achievements of Bose–Einstein condensate (BEC) with a gas of atoms confined by a magnetic trap [1] has stimulated renewed interest in the question as to what signatures Bose–Einstein condensation imprints in the spectrum of light scattered from atoms in such a condensate [2, 3]. As well known, to deal with the dynamics of BEC gas the Bogolubov approximation in quantum many-body theory [4] is an efficient approach, in which the creationThe spectrum of light scattered from a Bose–Einstein condensate is studied in the limit of particle-number conservation. To this end, a description in terms of deformed bosons is invoked and this leads to a deviation from the usual predict spectrum’s shape as soon as the number of particles decreases. PACS number(s): 03.65.Fd (Algebraic methods), 03.75.Fi (Bose condensation), 42.50.Ct (Quantum statistical description of interaction of light and matter) 1 The recent achievements of Bose–Einstein condensate (BEC) with a gas of atoms confined by a magnetic trap [1] has stimulated renewed interest in the question as to what signatures Bose–Einstein condensation imprints in the spectrum of light scattered from atoms in such a condensate [2, 3]. As well known, to deal with the dynamics of BEC gas the Bogolubov approximation in quantum many-body theory [4] is an efficient approach, in which the creation

Jan 1, 19995 citations

Properties of a Bose—Einstein Condensate

Jean-Louis Basdevant, Jean Dalibard

Advanced texts in physicsJan 1, 20000 citations

Radio-frequency output coupling of the Bose-Einstein condensate for atom lasers

Y. B. Band, Paul S. Julienne, Marek Trippenbach

We develop the quantum-mechanical description of output coupling of macroscopic coherent matter waves from a Bose-Einstein condensate (BEC) via a radio-frequency field in the pulsed and cw limits for both strong and weak field coupling. The theory is converted into a Fock state description to point out the stimulated (in Bose particle) nature of the output coupling. A useful analogy with the theory of molecular photodissociation is used to explain the various regimes of output coupling BECs using radiation sources. We present specific calculations of the rates of output coupling as a function of the number of Bose atoms in the condensate and the frequency, detuning, and intensity of the radio-frequency field.We develop the quantum-mechanical description of output coupling of macroscopic coherent matter waves from a Bose-Einstein condensate (BEC) via a radio-frequency field in the pulsed and cw limits for both strong and weak field coupling. The theory is converted into a Fock state description to point out the stimulated (in Bose particle) nature of the output coupling. A useful analogy with the theory of molecular photodissociation is used to explain the various regimes of output coupling BECs using radiation sources. We present specific calculations of the rates of output coupling as a function of the number of Bose atoms in the condensate and the frequency, detuning, and intensity of the radio-frequency field.

Physical Review AMay 1, 199938 citations

ω\sim \sqrt{k}