Bose-Einstein condensation and long-range phase coherence in the many-particle Schrödinger wave function

2001 ◽  
Vol 64 (22) ◽  
Author(s):  
J. Mayers
Keyword(s):  
Wave Function ◽  
Long Range ◽  
Phase Coherence ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
The Many ◽  
Bose Einstein

scholarly journals Observing the Formation of Long-Range Order during Bose-Einstein Condensation

2007 ◽  
Vol 98 (9) ◽  
Author(s):  
Stephan Ritter ◽  
Anton Öttl ◽  
Tobias Donner ◽  
Thomas Bourdel ◽  
Michael Köhl ◽  
...  
Keyword(s):  
Long Range ◽  
Range Order ◽  
Einstein Condensation ◽  
Long Range Order ◽  
Bose Einstein Condensation ◽  
Bose Einstein

EXCITON-PHONON PACKETS WITH BOSE–EINSTEIN CONDENSATE

2003 ◽  
Vol 17 (28) ◽  
pp. 5289-5293
Author(s):  
D. ROUBTSOV ◽  
Y. LÉPINE
Keyword(s):  
Wave Function ◽  
Coherent State ◽  
Einstein Condensate ◽  
Einstein Condensation ◽  
Inhomogeneous State ◽  
Bose Einstein Condensation ◽  
Bose Einstein Condensate ◽  
Bose Einstein

We discuss the possibility for a moving droplet of excitons and phonons to form a coherent state inside the packet. We describe such an inhomogeneous state in terms of Bose–Einstein condensation and prescribe it a macroscopic wave function. Existence and, thus, coherency of such a Bose-core inside the droplet can be checked experimentally if two moving packets are allowed to interact.

Bose–Einstein Condensation in an Ultracold Gas

1997 ◽  
Vol 11 (28) ◽  
pp. 3281-3296
Author(s):  
Carl E. Wieman
Keyword(s):  
Wave Function ◽  
Laser Cooling ◽  
Evaporative Cooling ◽  
Cold Atom ◽  
Collective Excitations ◽  
Einstein Condensation ◽  
Magnetic Trapping ◽  
Laser Cooling And Trapping ◽  
Bose Einstein Condensation ◽  
Bose Einstein

Bose–Einstein condensation in a gas has now been achieved. Atoms are cooled to the point of condensation using laser cooling and trapping, followed by magnetic trapping and evaporative cooling. These techniques are explained, as well as the techniques by which we observe the cold atom samples. Three different signatures of Bose–Einstein condensation are described. A number of properties of the condensate, including collective excitations, distortions of the wave function by interactions, and the fraction of atoms in the condensate versus temperature, have also been measured.

The Dynamics in the Bose-Einstein Condensation Process with Interaction between Three Energy-Level Bose Atoms

2011 ◽  
Vol 403-408 ◽  
pp. 2152-2155
Author(s):  
Yan Min Li ◽  
Li Zhang ◽  
Chen Di Li
Keyword(s):  
Wave Function ◽  
Energy Level ◽  
Single Mode ◽  
Einstein Condensation ◽  
Condensation Process ◽  
Cavity Field ◽  
Bose Einstein Condensation ◽  
Ordinary Method ◽  
Bose Einstein

The dynamics in the Bose-Einstein Condensation (BEC) process with interaction between three energy-level Bose atoms and Single-Mode active cavity field and between three Energy-Level Bose atoms in the quantum cavity is analyzed using the ordinary method for solving the wave function in the Schrödinger idea from the Heisenberg idea. A wave function has been established for the atoms under the BEC conditions in the quantum cavity, and the factors having effect on the BEC stability in the quantum cavity and the rules for selecting quantum leaps are analyzed.

BOSE–EINSTEIN CONDENSATION AND EXCITATIONS IN SOLID 4He WITH VACANCIES

2003 ◽  
Vol 17 (28) ◽  
pp. 5243-5253
Author(s):  
D. E. GALLI ◽  
L. REATTO
Keyword(s):  
Wave Function ◽  
Ground State ◽  
Perfect Crystal ◽  
Function Technique ◽  
Einstein Condensation ◽  
Solid 4He ◽  
Bose Einstein Condensation ◽  
Finite Concentration ◽  
Bose Einstein ◽  
First Time

We have studied the ground state and excited state properties of solid 4 He on the basis of the variational shadow wave function technique (SWF), which allows for relaxation and delocalisation of vacancies. We have found that a finite concentration of vacancies, if present, induces Bose-Einstein condensation (BEC) of the atoms at density close to the T=0 K melting where vacancies are delocalised. No BEC is present in a perfect crystal or in a defected solid at higher densities. We have extended this technique to study longitudinal phonons in solid 4 He and to study the vacancy excitation at a finite momentum; we have been able to compute for the first time the vacancy excitation spectrum in solid 4 He at density close to melting. Our results give a band width of about 8 K.

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