scholarly journals Bistability of Feshbach resonance in optical cavity

Open Physics ◽  
2014 ◽  
Vol 12 (6) ◽  
Author(s):  
Xiao-Qiang Xu ◽  
You-Quan Li
Keyword(s):  
Field Theory ◽  
Fixed Point ◽  
Feshbach Resonance ◽  
Optical Cavity ◽  
Mean Field Theory ◽  
Mean Field ◽  
Quantum Model ◽  
Photon Interaction ◽  
Atoms And Molecules ◽  
Pump Cavity

AbstractWe consider Feshbach resonance in an optical cavity where photons interact with atoms and molecules dispersively. From mean-field theory we obtain multiple fixed-point solutions, which is strongly related to the phenomenon of bistability. Adiabatic evolutions demonstrate hysteretic behaviors by varying pump-cavity detuning from opposite directions. We also use the quantum model to check mean-field results which match perfectly. The analysis here may enrich the study of particle-photon interaction systems.

Mean-Field Theory for Batched TD(λ)

1997 ◽  
Vol 9 (7) ◽  
pp. 1403-1419 ◽  
Author(s):  
Fernando J. Pineda
Keyword(s):  
Field Theory ◽  
Fixed Point ◽  
Random Walk ◽  
Markov Process ◽  
Mean Field Theory ◽  
Mean Field ◽  
Independent Observation ◽  
Affine Map ◽  
Linear Representations ◽  
Linearly Independent

A representation-independent mean-field dynamics is presented for batched TD(λ). The task is learning to predict the outcome of an indirectly observed absorbing Markov process. In the case of linear representations, the discrete-time deterministic iteration is an affine map whose fixed point can be expressed in closed form without the assumption of linearly independent observation vectors. Batched linear TD(λ) is proved to converge with probability 1 for all λ. Theory and simulation agree on a random walk example.

scholarly journals Simple Mean-Field Theory for a Zero-Temperature Fermionic Gas at a Feshbach Resonance

2005 ◽  
Vol 95 (11) ◽  
Author(s):  
Juha Javanainen ◽  
Marijan Koštrun ◽  
Matt Mackie ◽  
Andrew Carmichael
Keyword(s):  
Field Theory ◽  
Feshbach Resonance ◽  
Mean Field Theory ◽  
Mean Field ◽  
Zero Temperature

Mean field theory of n-layer unbinding

1993 ◽  
Vol 3 (3) ◽  
pp. 385-393 ◽  
Author(s):  
W. Helfrich
Keyword(s):  
Field Theory ◽  
Mean Field Theory ◽  
Mean Field

scholarly journals Evidence of exactness of the mean-field theory in the nonextensive regime of long-range classical spin models

2000 ◽  
Vol 61 (17) ◽  
pp. 11521-11528 ◽  
Author(s):  
Sergio A. Cannas ◽  
A. C. N. de Magalhães ◽  
Francisco A. Tamarit
Keyword(s):  
Field Theory ◽  
Long Range ◽  
Mean Field Theory ◽  
Mean Field ◽  
Spin Models ◽  
Classical Spin ◽  
The Mean ◽  
Classical Spin Models
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