Atom cooling by non-adiabatic expansion

Abstract

Motivated by the recent discovery that a reflecting wall moving with a square-root in time trajectory behaves as a universal stopper of classical particles regardless of their initial velocities, we compare linear in time and square-root in time expansions of a box to achieve efficient atom cooling. For the quantum single-atom wavefunctions studied the square-root in time expansion presents important advantages: asymptotically it leads to zero average energy whereas any linear in time (constant box-wall velocity) expansion leaves a non-zero residual energy, except in the limit of an infinitely slow expansion. For finite final times and box lengths we set a number of bounds and cooling principles which again confirm the superior performance of the square-root in time expansion, even more clearly for increasing excitation of the initial state. Breakdown of adiabaticity is generally fatal for cooling with the linear expansion but not so with the square-root expansion.

4 pages, 4 figures

References in corpus (4)

• Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
• Breakdown of the adiabatic limit in low dimensional gapless systems
• Energy distribution and cooling of a single atom in an optical tweezer
• A moving magnetic mirror to slow down a bunch of atoms

Cited by in corpus (8)

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• Shortcuts to adiabaticity
• Fast atomic transport without vibrational heating
• Shortcuts to adiabaticity in a time-dependent box
• Rapid counter-diabatic sweeps in lattice gauge adiabatic quantum computing
• Dynamics of a particle confined in a two-dimensional dilating and deforming domain
• Quantum dynamics in a time-dependent cylindrical trap
• Resonant transitions due to changing boundaries