Quantum field theoretical description of unstable behavior of a Bose-Einstein condensate with a highly quantized vortex in a harmonic potential

Laser Physics ◽  
2007 ◽  
Vol 17 (2) ◽  
pp. 211-214
Author(s):  
M. Okumura ◽  
M. Mine ◽  
T. Sunaga ◽  
Y. Yamanaka
Keyword(s):  
Theoretical Description ◽  
Einstein Condensate ◽  
Quantized Vortex ◽  
Harmonic Potential ◽  
Quantum Field ◽  
Unstable Behavior ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Two distinguishable impurities in BEC: squeezing and entanglement of two Bose polarons

2019 ◽  
Vol 6 (1) ◽  
Author(s):  
Christos Charalambous ◽  
Miguel A. Garcia-March ◽  
Aniello Lampo ◽  
Mohammad Mehboud ◽  
Maciej Lewenstein
Keyword(s):  
Sudden Death ◽  
Stochastic Equations ◽  
Einstein Condensate ◽  
Time Limit ◽  
External Potential ◽  
Harmonic Potential ◽  
Bose Einstein Condensate ◽  
Brownian Particles ◽  
Bose Einstein ◽  
Asymptotic Time

We study entanglement and squeezing of two uncoupled impurities immersed in a Bose-Einstein condensate. We treat them as two quantum Brownian particles interacting with a bath composed of the Bogoliubov modes of the condensate. The Langevin-like quantum stochastic equations derived exhibit memory effects. We study two scenarios: (i) In the absence of an external potential, we observe sudden death of entanglement; (ii) In the presence of an external harmonic potential, entanglement survives even at the asymptotic time limit. Our study considers experimentally tunable parameters.

scholarly journals Exploring the thermodynamics of noncommutative scalar fields

2016 ◽  
Vol 31 (11) ◽  
pp. 1650057 ◽  
Author(s):  
Francisco A. Brito ◽  
Elisama E. M. Lima
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Thermodynamic Properties ◽  
Scalar Fields ◽  
Einstein Condensate ◽  
Target Space ◽  
Quantum Field ◽  
Condensate Fraction ◽  
Bose Einstein Condensate ◽  
Bose Einstein

We study the thermodynamic properties of the Bose–Einstein condensate (BEC) in the context of the quantum field theory with noncommutative target space. Our main goal is to investigate in which temperature and/or energy regimes the noncommutativity can characterize some influence on the BEC properties described by a relativistic massive noncommutative boson gas. The noncommutativity parameters play a key role in the modified dispersion relations of the noncommutative fields, leading to a new phenomenology. We have obtained the condensate fraction, internal energy, pressure and specific heat of the system and taken ultrarelativistic (UR) and nonrelativistic (NR) limits. The noncommutative effects on the thermodynamic properties of the system are discussed. We found that there appear interesting signatures around the critical temperature.

The Condition for Existence of Complex Modes in Trapped Bose–Einstein Condensate with a Highly Quantized Vortex

2007 ◽  
Vol 148 (3-4) ◽  
pp. 381-386 ◽  
Author(s):  
Tomoka Sunaga ◽  
Eriko Fukuyama ◽  
Makoto Mine ◽  
Masahiko Okumura ◽  
Yoshiya Yamanaka
Keyword(s):  
Einstein Condensate ◽  
Quantized Vortex ◽  
Bose Einstein Condensate ◽  
Complex Modes ◽  
Bose Einstein

scholarly journals Dynamical Instability of a Doubly Quantized Vortex in a Bose-Einstein Condensate

2004 ◽  
Vol 93 (16) ◽  
Author(s):  
Y. Shin ◽  
M. Saba ◽  
M. Vengalattore ◽  
T. A. Pasquini ◽  
C. Sanner ◽  
...  
Keyword(s):  
Einstein Condensate ◽  
Quantized Vortex ◽  
Dynamical Instability ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Nonperiodic Oscillation of Bright Solitons in Condensates with a Periodically Oscillating Harmonic Potential 10.5560/ZNA.2012-0085

2012 ◽  
Vol 67 (12) ◽  
pp. 723-728
Author(s):  
Zhang-Ming He ◽  
Deng-Long Wang ◽  
Yan-Chao She ◽  
Jian-Wen Ding ◽  
Xiao-Hong Yan
Keyword(s):  
Darboux Transformation ◽  
Oscillation Frequency ◽  
Dynamic Properties ◽  
Einstein Condensate ◽  
Harmonic Potential ◽  
Bright Solitons ◽  
Bose Einstein Condensate ◽  
Oscillating Potential ◽  
Bose Einstein

Considering a periodically oscillating harmonic potential, we explored the dynamic properties of bright solitons in a Bose-Einstein condensate by using Darboux transformation. It is found that the soliton movement exhibits a nonperiodic oscillation under a slow oscillating potential, while it is hardly affected under a fast oscillating potential. Furthermore, the head-on and/or ‘chase’ collisions of two solitons have been obtained, which could be controlled by the oscillation frequency of the potential.

Properties of a Bose-Einstein condensate in an anisotropic harmonic potential

1996 ◽  
Vol 53 (4) ◽  
pp. R1950-R1953 ◽  
Author(s):  
Mark Edwards ◽  
R. J. Dodd ◽  
C. W. Clark ◽  
P. A. Ruprecht ◽  
K. Burnett
Keyword(s):  
Einstein Condensate ◽  
Harmonic Potential ◽  
Bose Einstein Condensate ◽  
Bose Einstein
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