scholarly journals Rotating Bose-Einstein condensates with a finite number of atoms confined in a ring potential: Spontaneous symmetry breaking beyond the mean-field approximation

2017 ◽  
Vol 95 (3) ◽  
Author(s):  
A. Roussou ◽  
J. Smyrnakis ◽  
M. Magiropoulos ◽  
Nikolaos K. Efremidis ◽  
G. M. Kavoulakis
Keyword(s):  
Symmetry Breaking ◽  
Finite Number ◽  
Spontaneous Symmetry Breaking ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
The Mean ◽  
Bose Einstein

ENTANGLEMENT DYNAMICS OF FLUCTUATIONS IN TWO-MODE BOSE–EINSTEIN CONDENSATES

2010 ◽  
Vol 24 (25) ◽  
pp. 2571-2580
Author(s):  
P. L. SHU ◽  
L. C. WANG ◽  
X. X. YI
Keyword(s):  
Time Evolution ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Entanglement Dynamics ◽  
Weakly Coupled ◽  
Tunneling Transition ◽  
The Mean ◽  
Bose Einstein ◽  
Double Well Potential

The entanglement dynamics of fluctuations in two weakly coupled Bose–Einstein condensates (BECs) is studied in this paper. By calculating the time evolution of entanglement between two fluctuations of condensates in a double-well potential, we show that the nonlinear tunneling transition can be reflected in the entanglement dynamics of fluctuations in BECs. This complements the study on the entanglement dynamics of BECs based on the mean-field approximation.

scholarly journals Formalizing the gene centered view of evolution

1999 ◽  
Vol 02 (03) ◽  
pp. 277-281 ◽  
Author(s):  
Yaneer Bar-Yam
Keyword(s):  
Symmetry Breaking ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Trait Divergence ◽  
The Mean ◽  
Dynamic Version ◽  
Evolving Populations

A historical dispute in the conceptual underpinnings of evolution is the validity of the gene centered view of evolution (Dawkins, 1989; Sober and Lewontin, 1982). We transcend this debate by formalizing the gene centered view as a dynamic version of the mean field approximation. This establishes the conditions under which it is applicable and when it is not. In particular, it breaks down for trait divergence which corresponds to symmetry breaking in evolving populations.

SPONTANEOUS SYMMETRY BREAKING IN A MICROTUBULE-LIKE SYSTEM

2010 ◽  
Vol 21 (06) ◽  
pp. 825-837 ◽  
Author(s):  
MINGZHE LIU ◽  
RUILI WANG ◽  
RUI JIANG
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Nearest Neighbor ◽  
Mean Field ◽  
Field Approximation ◽  
Mean Field Approximation ◽  
Low Density ◽  
Channel System ◽  
Multiple Channel ◽  
Proposed Model

This paper studies asymmetric exclusion processes on a microtubule-like system with two species of particles. The model is motivated by the structure of microtubules and kinesins and dyneins moving along microtubules in opposite directions. The proposed model is similar to that in J. Phys. A40, 2275 (2007) in which two-channel TASEPs with narrow entrances and parallel update are studied. This paper extended the above-mentioned work to a multiple-channel hollow cylinder case. Thus, each channel has two nearest neighbors in our model. The corresponding rule for narrow entrances is that particles cannot enter the system if either of two nearest-neighbor sites on neighboring channels is occupied by the other species of particles. The phase diagram of the model is obtained from a mean-field approximation and verified by computer simulations. It is shown that the spontaneous symmetry breaking exists with two asymmetric phases: high/low density and low/low density. The flipping process of particles is observed. Bulk density and particle currents are computed. Monte Carlo simulation results deviate from the mean-field prediction when entrance rate α is high, which is due to neglecting correlations among particles in mean-field calculations. The results are also compared with that obtained from two-channel system with one neighbor narrow entrance in parallel update.

Decay of a Bose-Einstein condensate in a dissipative lattice – the mean-field approximation and beyond

2011 ◽  
Vol 63 (1) ◽  
pp. 63-71 ◽  
Author(s):  
F. Trimborn ◽  
D. Witthaut ◽  
H. Hennig ◽  
G. Kordas ◽  
T. Geisel ◽  
...  
Keyword(s):  
Mean Field ◽  
Field Approximation ◽  
Einstein Condensate ◽  
Mean Field Approximation ◽  
Bose Einstein Condensate ◽  
The Mean ◽  
Bose Einstein
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