Dimensional crossover in self-organised super-radiant phases of ultra
cold atoms inside a cavity
- URL: http://arxiv.org/abs/2206.04518v3
- Date: Fri, 6 Jan 2023 11:19:43 GMT
- Title: Dimensional crossover in self-organised super-radiant phases of ultra
cold atoms inside a cavity
- Authors: Poornima Shakya, Amulya Ratnakar, Sankalpa Ghosh
- Abstract summary: We consider a condensate of ultra cold bosonic atoms in a linear optical cavity illuminated by a two-pump configuration.
We show such configuration allows a smooth transition from a one-dimensional quantum optical lattice configuration to a two-dimensional quantum optical lattice configuration induced by the cavity-atom interaction.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We consider a condensate of ultra cold bosonic atoms in a linear optical
cavity illuminated by a two-pump configuration where each pump is making
different angles with the direction of the cavity axis. We show such
configuration allows a smooth transition from a one-dimensional quantum optical
lattice configuration to a two-dimensional quantum optical lattice
configuration induced by the cavity-atom interaction. Using a
Holstein-Primakoff transformation, we find out the atomic density profile of
such self-organised ground state in the super-radiant phase as a function of
the angular orientations of the pump in such dynamical quantum optical lattice,
and, also provide an analysis of their structures in coordinate and momentum
space. In the later part of the paper, we show how the corresponding results
can also be qualitatively understood in terms of an Extended Bose-Hubbard model
in such quantum optical lattice potential.
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