scholarly journals Quantum control of ultra-cold atoms: uncovering a novel connection between two paradigms of quantum nonlinear dynamics

2009 ◽  
Vol 56 (6) ◽  
pp. 722-728 ◽  
Author(s):  
Jiao Wang ◽  
Anders S. Mouritzen ◽  
Jiangbin Gong
Keyword(s):  
Nonlinear Dynamics ◽  
Quantum Control ◽  
Cold Atoms

Three-Dimensional Nonlinear Dynamics of Cold Atoms in an Optical Lattice and its Realizations

2021 ◽  
Vol 42 (5) ◽  
pp. 558-568
Author(s):  
Sergey V. Prants ◽  
Leonid E. Kon’kov ◽  
Aleksandr A. Didov
Keyword(s):  
Nonlinear Dynamics ◽  
Optical Lattice ◽  
Cold Atoms ◽  
Three Dimensional

Atom Optomechanics

2020 ◽  
pp. 329-368
Author(s):  
Philipp Treutlein
Keyword(s):  
Ultracold Atoms ◽  
Quantum Control ◽  
Cold Atoms ◽  
Internal State ◽  
Trapped Atoms ◽  
Sympathetic Cooling ◽  
Atomic Systems ◽  
Mechanical Oscillators ◽  
Optomechanical Coupling ◽  
Coupling Mechanisms

This chapter gives an introduction to optomechanics with ultracold atoms. The opening half deals with optomechanical atom–light interactions. Section 9.2 introduces atom trapping. Section 9.3 discusses the properties of trapped atoms as mechanical oscillators. Section 9.4 describes optomechanical interactions, treating the atoms as polarizable particles, a model used in section 9.5 to derive optomechanical coupling of atoms and a cavity field and briefly review cavity optomechanics experiments with atoms in the quantum regime. The second half deals with hybrid mechanical-atomic systems. We start with an overview of different coupling mechanisms, then focus on light-mediated interactions and derive the coupling of a membrane to an ensemble of laser-cooled atoms. Section 9.8 reviews experiments on sympathetic cooling of a membrane with cold atoms, with perspectives for mechanical quantum control discussed in section 9.9. Section 9.10 introduces the possibilities that arise if the mechanical oscillator is coupled to the atomic internal state.

scholarly journals Connection between Inverse Engineering and Optimal Control in Shortcuts to Adiabaticity

Entropy ◽  
2021 ◽  
Vol 23 (1) ◽  
pp. 84
Author(s):  
Qi Zhang ◽  
Xi Chen ◽  
David Guéry-Odelin
Keyword(s):  
Optimal Control ◽  
Quantum Control ◽  
Cold Atoms ◽  
Spin Dynamics ◽  
Harmonic Trap ◽  
High Fidelity ◽  
Physical Constraints ◽  
Atomic Transport ◽  
Shortcuts To Adiabaticity ◽  
Very High

We consider fast high-fidelity quantum control by using a shortcut to adiabaticity (STA) technique and optimal control theory (OCT). Three specific examples, including expansion of cold atoms from the harmonic trap, atomic transport by moving harmonic trap, and spin dynamics in the presence of dissipation, are explicitly detailed. Using OCT as a qualitative guide, we demonstrate how STA protocols designed from inverse engineering method can approach with very high precision optimal solutions built about physical constraints, by a proper choice of the interpolation function and with a very reduced number of adjustable parameters.

Quantum control and information processing in optical lattices

2001 ◽  
Vol 1 (Special) ◽  
pp. 20-32
Author(s):  
P.S. Jessen ◽  
D.L. Haycock ◽  
G. Klose ◽  
G.A. Smith ◽  
I.H. Deutsch ◽  
...  
Keyword(s):  
Information Processing ◽  
Quantum Logic ◽  
Degrees Of Freedom ◽  
Quantum Control ◽  
Optical Lattices ◽  
Cold Atoms ◽  
Quantum Information Processing ◽  
Full Density ◽  
Experimental Conditions ◽  
Qubit Operations

Neutral atoms offer a promising platform for single- and many-body quantum control, as required for quantum information processing. This includes excellent isolation from the decohering influence of the environment, and the existence of well developed techniques for atom trapping and coherent manipulation. We present a review of our work to implement quantum control and measurement for ultra-cold atoms in far-off-resonance optical lattice traps. In recent experiments we have demonstrated coherent behavior of mesoscopic atomic spinor wavepackets in optical double-well potentials, and carried out quantum state tomography to reconstruct the full density matrix for the atomic spin degrees of freedom. This model system shares a number of important features with proposals to implement quantum logic and quantum computing in optical lattices. We present a theoretical analysis of a protocol for universal quantum logic via single qubit operations and an entangling gate based on electric dipole-dipole interactions. Detailed calculations including the full atomic hyperfine structure suggests that high-fidelity quantum gates are possible under realistic experimental conditions.

Cold atoms and quantum control

Nature ◽  
2002 ◽  
Vol 416 (6877) ◽  
pp. 206-210 ◽  
Author(s):  
Steven Chu
Keyword(s):  
Quantum Control ◽  
Cold Atoms

scholarly journals Optical nonlinear dynamics with cold atoms in a cavity

1995 ◽  
Vol 115 (1-2) ◽  
pp. 199-206 ◽  
Author(s):  
A. Lambrecht ◽  
E. Giacobino ◽  
J.M. Courty
Keyword(s):  
Nonlinear Dynamics ◽  
Cold Atoms

Two Dimensional Nonlinear Dynamics of Cold Atoms in Hollow Fiber

2000 ◽  
pp. 427-431
Author(s):  
X. M. Liu ◽  
G. J. Milburn
Keyword(s):  
Nonlinear Dynamics ◽  
Hollow Fiber ◽  
Cold Atoms ◽  
Two Dimensional

scholarly journals Nonlinear Dynamics in Atom Optics

1996 ◽  
Vol 49 (4) ◽  
pp. 777 ◽  
Author(s):  
Wenyu Chen ◽  
S Dyrting ◽  
GJ Milburn
Keyword(s):  
Nonlinear Dynamics ◽  
Quantum Dynamics ◽  
Cold Atoms ◽  
Standing Waves ◽  
Theoretical Work ◽  
External Noise ◽  
Time Dependent ◽  
Atom Optics ◽  
Classical Dynamics ◽  
Basic Concepts

In this paper theoretical work on classical and quantum nonlinear dynamics of cold atoms is reported. The basic concepts in nonlinear dynamics are reviewed and then applied to the motion of atoms in time-dependent standing waves and to the atomic bouncer. We describe the quantum dynamics for the cases of regular and chaotic classical dynamics. The effect of spontaneous emission and external noise is also discussed.

ChemInform Abstract: Cold Atoms and Quantum Control

ChemInform ◽  
2010 ◽  
Vol 33 (21) ◽  
pp. no-no
Author(s):  
Steven Chu
Keyword(s):  
Quantum Control ◽  
Cold Atoms
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