# Reproducible mesoscopic superpositions of Bose-Einstein condensates and mean-field chaos

@article{Gertjerenken2010ReproducibleMS, title={Reproducible mesoscopic superpositions of Bose-Einstein condensates and mean-field chaos}, author={Bettina Gertjerenken and Stephan Arlinghaus and Niklas Teichmann and Christoph Weiss}, journal={Physical Review A}, year={2010}, volume={82}, pages={023620} }

In a parameter regime for which the mean-field (Gross-Pitaevskii) dynamics becomes chaotic, mesoscopic quantum superpositions in phase space can occur in a double-well potential, which is shaken periodically. For experimentally realistic initial states, such as the ground state of some 100 atoms, the emergence of mesoscopic quantum superpositions in phase space is investigated numerically. It is shown to be reproducible, even if the initial conditions change slightly. Although the final state…

## 9 Citations

Distinguishing mesoscopic quantum superpositions from statistical mixtures in periodically shaken double wells

- Physics
- 2012

For Bose–Einstein condensates in double wells, N-particle Rabi-like oscillations often seem to be damped. Far from being a decoherence effect, the apparent damping can indicate the emergence of…

Beyond-mean-field behavior of large Bose-Einstein condensates in double-well potentials

- Physics
- 2013

For the dynamics of Bose-Einstein condensates (BECs), differences between mean-field (Gross-Pitaevskii) physics and N-particle quantum physics often disappear if the BEC becomes larger and larger. In…

Regular and Chaotic Spatial Distribution of Bose-Einstein Condensed Atoms in a Ratchet Potential

- Physics
- 2018

We study the regular and chaotic spatial distribution of Bose-Einstein condensed atoms with a space-dependent nonlinear interaction in a ratchet potential. There exists in the system a…

Scattering bright solitons: quantum versus mean-field behavior

- Physics
- 2012

We investigate scattering bright solitons off a potential using both analytical and numerical methods. Our paper focuses on low kinetic energies for which differences between the mean-field…

Conditions for order and chaos in the dynamics of a trapped Bose-Einstein condensate in coordinate and energy space

- Physics
- 2016

Abstract
We investigate numerically conditions for order and chaos in the dynamics of an
interacting Bose-Einstein condensate (BEC) confined by an external trap cut off by a
hard-wall box potential.…

Finite temperature effects in two-mode bosonic Josephson junctions

- Physics
- 2012

We analyze the effects of temperature on a bosonic Josephson junction realized with ultracold and dilute atoms in a double-well potential. Starting from the eigenstates of the two-site Bose–Hubbard…

Controlling dynamical entanglement in a Josephson tunneling junction

- Physics
- 2016

We analyze the evolution of an entangled many-body state in a Josephson tunneling junction. A N00N state, which is a superposition of two complementary Fock states, appears in the evolution with…

A space-dependent atomic superfluid current in Bose-Einstein condensates

- Physics
- 2015

A space-dependent atomic superfluid current with an explicit analytical expression and its role in Bose–Einstein condensates are studied. The factors determining the intensity and oscillating…

Spatial structure of a collisionally inhomogeneous Bose-Einstein condensate

- Physics
- 2013

The spatial structure of a collisionally inhomogeneous Bose-Einstein condensate (BEC) in an optical lattice is studied. A spatially dependent current with an explicit analytic expression is found in…

## References

SHOWING 1-10 OF 98 REFERENCES

Macroscopic superpositions of phase states with Bose-Einstein condensates

- Physics
- 2008

Quantum superpositions of macroscopically distinguishable states having distinct phases can be created with a Bose-Einstein condensate trapped in a periodic potential. The experimental signature is…

Signatures of chaos-induced mesoscopic entanglement

- Physics
- 2009

For a Bose–Einstein condensate in a double-well potential, time-periodic shaking can lead to the emergence of non-classical mesoscopic superpositions on very short timescales. It is suggested to…

Number squeezing, quantum fluctuations and oscillations in mesoscopic Bose Josephson junctions

- Physics
- 2008

Starting from a quantum two-mode Bose-Hubbard Hamiltonian we determine the ground state properties, momentum distribution and dynamical evolution for a Bose Josephson junction realized by an…

Macroscopic superpositions of Bose-Einstein condensates

- Physics
- 1998

We consider two dilute gas Bose-Einstein condensates with opposite velocities from which a monochromatic light field detuned far from the resonance of the optical transition is coherently scattered.…

Differences between mean-field dynamics and N-particle quantum dynamics as a signature of entanglement.

- PhysicsPhysical review letters
- 2008

A Bose-Einstein condensate in a tilted double-well potential under the influence of time-periodic potential differences is investigated in the regime where the mean-field (Gross-Pitaevskii) dynamics…

Efficient generation and properties of mesoscopic quantum superposition states in an attractive Bose–Einstein condensate threaded by a potential barrier

- Physics
- 2009

The dynamics of a low-dimensional ultracold attractive Bose gas threaded by a potential barrier is studied by solving the time-dependent many-boson Schrödinger equation. It is shown that quantum…

Chaos enhancing tunneling in a coupled Bose-Einstein condensate with a double driving.

- PhysicsChaos
- 2009

It is found that the atomic tunneling can be enhanced in the presence of chaos.

Binary mixtures of Bose-Einstein condensates: Phase dynamics and spatial dynamics

- Physics
- 2000

We investigate the relative phase coherence properties and the occurrence of demixing instabilities for two mutually interacting and time evolving Bose-Einstein condensates in traps. Our treatment…

Creation and detection of a mesoscopic gas in a nonlocal quantum superposition.

- PhysicsPhysical review letters
- 2009

It is shown that the scattering of a quantum matter wave soliton on a barrier in a one-dimensional geometry can lead to mesoscopic quantum superposition states, where the atomic gas is in a coherent superposition of being in the half-space to the right of the barrier.

Chaos, entanglement, and decoherence in the quantum kicked top

- Physics
- 2008

We analyze the interplay of chaos, entanglement and decoherence in a system of qubits whose collective behaviour is that of a quantum kicked top. The dynamical entanglement between a single qubit and…