What is the gross Pitaevskii equation?
The Gross–Pitaevskii equation (GPE, named after Eugene P. Gross and Lev Petrovich Pitaevskii) describes the ground state of a quantum system of identical bosons using the Hartree–Fock approximation and the pseudopotential interaction model. is the Dirac delta-function.
What is perfect Bose gas?
An ideal Bose gas is a quantum-mechanical phase of matter, analogous to a classical ideal gas. It is composed of bosons, which have an integer value of spin, and abide by Bose–Einstein statistics.
What is Bose-Einstein gas?
In condensed matter physics, a Bose–Einstein condensate (BEC) is a state of matter that is typically formed when a gas of bosons at very low densities is cooled to temperatures very close to absolute zero (−273.15 °C or −459.67 °F).
What is Bose temperature?
Bose-Einstein condensate (BEC), a state of matter in which separate atoms or subatomic particles, cooled to near absolute zero (0 K, − 273.15 °C, or − 459.67 °F; K = kelvin), coalesce into a single quantum mechanical entity—that is, one that can be described by a wave function—on a near-macroscopic scale.
Is Bose-Einstein condensate a state of matter?
What are the 13 states of matter?
13: States of Matter
| Phase | Shape | Density |
|---|---|---|
| Gas | fills entire container | low |
| Liquid | fills a container from bottom to top | high |
| Solid | rigid | high |
What is the last term in the Gross–Pitaevskii equation?
The Gross–Pitaevskii equation and Bose–Einstein condensates 251 Finally, for the last term in the free energy we have that μ| =μ ψ∗(r)ψ(r)dr
Does the Gross–Pitaevskii equation apply to a cloud of bosons?
The Gross–Pitaevskii equation and Bose–Einstein condensates 255 5. Application of the GPE to a cloud of bosons in one dimension In thissection, we demonstrate the application ofthe GPE to arelatively simple case: a bosonic gasinonedimensioninauniformpotential.Suchagascanbeobtainedbygettingacondensate in an elongated trap.
Is there a case for the Gross-Pitaevskii system?
In addition, an important case for the Gross-Pitaevskii system is their approach in quantum phase space, particularly the calculation of Wigner function for this system, in which it is not known in the literature. E. Wigner, “On the Quantum corrections to thermodynamics equilibrium,” Physical Review, vol. 40, no. 5, pp. 749–759, 1932.
What is the Bogoliubov treatment of the Gross–Pitaevskii equation?
Bogoliubov treatment of the Gross–Pitaevskii equation is a method that finds the elementary excitations of a Bose–Einstein condensate. To that purpose, the condensate wavefunction is approximated by a sum of the equilibrium wavefunction