The bose-einstein-condensate tag has no wiki summary.
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Change of basis in non-linear Schrodinger equation
At the mean-field level, the dynamics of a polariton condensate can be described by a type of nonlinear Schrodinger equation (Gross-Pitaevskii-type), for a classical (complex-number) wavefunction ...
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What does the wavefunction of atom look like at low temperature?
I am reading an introduction material on Bose-Einstein condensation (BEC) at low temperature and it stated that when the temperature approaches zero kelvin, almost all atoms are degenerated into the ...
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Practical applications for a Bose-Einstein condensate
What are the main practical applications that a Bose-Einstein condensate can have?
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Hamiltonians, density of state, BECs
When working with Bose-Einstein condensates trapped in potentials, how can one tell what the density of state of a system of identical bosons given the Hamiltonian, $H$? (I have been told that it is ...
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1answer
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First order coherence function in terms of momentum distribution function
Can someone show me how the first order coherence function $G^1(r,r')\equiv \left \langle \hat{\Psi}(r)\hat{\Psi}(r') \right \rangle $ for a system of bosons is related to the momentum distribution ...
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1answer
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Bose-Einstein condensate for general interacting systems
There is Bose-Einstein condensate (BEC) for non-interacting boson systems. Can we prove the existence of BEC for interacting systems?
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What is the condition for getting Bose-Einstein condensation? [closed]
Consider an ideal Bose gas in three dimension with energy-momentum relation E proportional to $p^s$ with $s>0$. Find the range of $s$ for which this system may undergo a Bose-Einstein ...
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Bose-Einstein condensate in 1D
I've read that for a Bose-Einstein gas in 1D there's no condensation. Why this happenes? How can I prove that?
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What prevents bosons from occupying the same location?
The Pauli exclusion principle states that no two fermions can share identical quantum states. Bosons, one the other hand, face no such prohibition. This allows multiple bosons to essentially occupy ...
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Deriving the “total” Bose Einstein density of states, including the condensate
Is is possible to derive the Bose-Einstein density of states containing the delta function representing the BE condensate?
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Why People talk so much about Feshbach resonance while dealing with Bose-Einstein Condensate (BEC)?
Why People talk so much about Feshbach resonance while dealing with Bose-Einstein Condensate (BEC)?
Why not tune the system near the resonance and measure the effect on BEC formation?
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3answers
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Bose-Einstein condensation in systems with a degenerate ground state
I understand that when a system enters the BEC phase a sizable fraction of the total number of particles enters the ground state, until at some point almost all of your particles are in the ground ...
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1answer
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Why is the BCS trial function valid across the BEC-BCS crossover?
In one of the two main theoretical approaches used in describing ultracold Fermi gases and the BEC-BCS crossover, the so-called BCS-Leggett approach, the starting point is the BCS trial wavefunction:
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Why water is not superfluid?
My question is in the title. I do not really understand why water is not a superfluid. Maybe I make a mistake but the fact that water is not suprfluid comes from the fact that the elementary ...
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Why do Photons want to be together?
So I've heard that when a photon flies by a atom excited enough to release a photon there's a good chance it will. Because Photons want to be together and have the same direction etc?
Is this true? ...
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How many ways are there to distribute M excitations of N identical particles among K=3 quantum harmonic oscillators?
I'm trying to numerically calculate a partition function of N non-interacting but identical particles in a 3D SHO. To do this, I'd like to know the degeneracy of $M$ excitations, $N$ indistinguishable ...
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2answers
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Has Bose-Einstein theory been considered for dark matter?
Has Bose-Einstein theory been considered for dark matter?
The theory would explain why no measurable radiation is emitted due to zero temperature--its lack of interaction with other matter and its ...
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1answer
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Gross-Pitaevskii equation in Bose-Einstein condensates
I was hoping someone might be able to give a approachable explanation of the Gross-Pitaevskii equation. All the sources I've been able to find seem to concentrate on the derivation, and I don't have ...
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Can bosons that are composed of several fermions occupy the same state?
It is generally assumed that there is no limit on how many bosons are allowed to occupy the same quantum mechanical state. However, almost every boson encountered in every-day physics is not a ...
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BEC for holography?
I am spending some time reading about Bose-Einstein condensation. I want to know if it is possible to use atom lasers to realize the kind of holography traditionally associated with nano-fabrication.
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Fock picture of bosonification in condensates
I want to understand how bosonification in a condensate must be interpreted in the Fock states picture
Say i have uncoupled fermions in a set of states $E_1$, $E_2$ ... over the vacuum $E_0$. They ...
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3answers
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Looking for a complete review of the BEC-BCS crossover
I'm looking for comprehensive review of the BEC-BCS crossover, both from a theoretical point of view, and from a experimental one. Even something at textbook level, but exhaustive, would be OK, but I ...
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positronium BEC stability
After reading this article regarding Positronium BEC formation (for lasing purposes), there is a mention in there regarding Ps "up" atoms not annihilating with "down" atoms, the article is pretty ...
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trying to understand Bose-Einstein Condensate (BEC)
I am a computer scientist interested in network theory. I have come across the Bose-Einstein Condensate (BEC) because of its connections to complex networks. What I know about condensation is the ...
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Are all bose-einstein condensates superfluid?
I feel like the answer should be "no" since all superfluids are not strictly BEC since they can undergo a Kosterlitz–Thouless transition in 2D, for example. I believe the ideal gas isn't superfluid, ...
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1answer
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True Ground State Population of Ideal Bose-Einstein Condensate at Critical Temperature
I'm supposed to demonstrate that although we make the assumption in an ideal BEC that the ground state population follows
$N_0 = N\left[1-\left(\frac{T}{T_c}\right)^{3/2}\right]$
in reality the true ...
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What happens to those electrons of BEC cold atoms?
BEC cold atoms occupy the same ground state. But what about the electrons or other fermions of the BEC atoms? Are they in the same state? Do electrons of one atom interact with those of another?
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BCS theory, Richardson model and Superconductivity
I'm studying Richardson Model in second quantization. There are many initial points that I don't understand:
We supposed that an attractive force between 2 electrons exists, due to electron-phonon ...
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2answers
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Can a system entirely of photons be a Bose-Einsten condensate?
Background:
In Bose-Einstein stats the quantum concentration $N_q$ (particles per volume) is proportional to the total mass M of the system:
$$ N_q = (M k T/2 \pi \hbar^2)^{3/2} $$
where k ...
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1answer
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Possibility of Bose-Einstein condensation in low dimensions
I remember having a problem (for practice preliminary exams at UC Berkeley) to prove that Bose-Einstein condensation(BEC) is not possible in two dimensions (as opposed to three dimensions):
For ...
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Matter-wave interference from free falling cold atoms
and another exam question, this is about current research:
Interference of matter waves has been studied using ultra-cold atoms. The phase of a matter wave for free-falling cold-atoms at time $t$ ...
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How do I derive the critical temperature for bose condensation in two dimensions?
In class we derived the 3D case, but there's a step I don't understand:
$$ N = g \cdot {V \over (2 \pi \hbar)^3} \cdot \int\limits_{0}^{\infty}{1 \over{e^{\left( E_p \over{K_B T}\right)}-1}} d^3 p = ...
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1answer
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Expansion of multi-particle state vector as a sum of n-entangled states
Physically, quantum entanglement is ranged from full long-range entanglement (Bose-Einstein condensate), described by a basis of states that look like this:
$$ |\Psi\rangle = |\phi_{i_{0} i_{1} ... ...
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Bose-Einstein Condensate with T>0 in Theory and Reality
I am interested to understand how positive entropy Bose Einstein condensation for cold atoms (say) behave. The way I think about it is as follows: We have an ideal pure state where every atom is in ...
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existing bounds on maximum density achieved by a Bose condensate
As we know, fermions are subject to exchange interactions that limit the densities they can achieve. However bosons (simple or composite) are not constrained by this, which implies physical phenomena ...
