Non-equilibrium Dynamics of a Double-well Bose–Einstein Condensate-dual Reservoir System

Chaotic dynamics of a double-well Bose-Einstein condensate.

“…For large reservoir system, averages F A (t) and F B (t) vanishes but their two-point (time) correlations F † A (t)F A (t ) and F † B (t)F B (t ) are non-zero. However here we consider only the single moment average for noise, hence ruling out the two-point noise correlations that satisfy the fluctuation dissipation theorem for the existence of internal noise (discussed elsewhere, see for instance our earlier work [25]). In case there exist higher order moments, they can be decorrelated to a single moment again.…”

“…In general, the Markovian operational dynamics of a dissipative thermodynamic system is generated by δ − correlated memory kernel, whereas other type of memory kernels such as the Ornstein-Uhlenbeck (OU) [20] induces non-Markovian dynamics, for instance in [21][22][23]. We have applied extensively the latter type of memory kernels to study the Markovian (non-Markovian) dynamics of the double-well BEC reservoir systems [24][25][26].…”