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When an ideal gas is compressed adiabatically, that is, without adding heat, work is done on it, and its temperature increases. In an adiabatic expansion, the gas does work, and its temperature drops. Adiabatic compressions actually occur in the cylinders of a car, where the compressions of the gas-air mixture take place so quickly that there is no time for the mixture to exchange heat with its environment. Nevertheless, because work is done on the mixture during the compression, its...
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Real gases do not perfectly obey the ideal gas laws, especially at high pressures and low temperatures or when they are about to condense to a liquid. These deviations occur due to intermolecular forces between gas molecules. Repulsive forces aid expansion and are significant when molecules are very close together, typically at high pressure. Attractive forces assist compression and have a longer range, being effective over several molecular diameters. They become significant when molecules are...
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Shortcut to Adiabaticity for an Anisotropic Gas Containing Quantum Defects.

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Summary

We developed a shortcut to adiabaticity (STA) protocol for quantum gases, enabling rapid state transitions. This method preserves quantum defect shapes, acting as a perfect microscope for studying vortices and solitons.

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Area of Science:

  • Quantum physics
  • Ultracold atomic gases
  • Condensed matter physics

Background:

  • Adiabatic processes are crucial for controlling quantum systems but are typically slow.
  • Quantum gases, like Fermi and Bose gases, are sensitive systems exhibiting complex phenomena such as vortices and solitons.
  • Controlling and observing these quantum defects is challenging due to their dynamic nature.

Purpose of the Study:

  • To develop a fast and efficient method for controlling quantum gases.
  • To investigate the behavior of quantum defects (vortices, solitons) in ultracold gases under controlled conditions.
  • To establish a protocol that preserves the integrity of quantum defects during state transitions.

Main Methods:

  • Development of a shortcut to adiabaticity (STA) protocol.
  • Utilizing exact scaling solutions in anisotropic time-dependent harmonic traps.
  • Connecting stationary states in initial and final traps with identical frequency ratios.

Main Results:

  • The STA protocol is applicable to 3D unitary Fermi gases and 2D weakly interacting Bose gases.
  • The protocol reveals universal scaling laws that also apply to classical Boltzmann gases.
  • The STA protocol conserves the shape of quantum defects, unlike free expansion which causes distortion.
  • The STA can be performed rapidly, enabling quantum quenches between stationary states.

Conclusions:

  • The proposed STA protocol offers a powerful tool for manipulating quantum gases with high fidelity.
  • This method acts as a "perfect microscope" for observing quantum defects in ultracold atomic systems.
  • The universality of the scaling laws suggests broad applicability across different gas types and classical systems.