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Adiabatic Processes for an Ideal Gas01:18

Adiabatic Processes for an Ideal Gas

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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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Path Between Thermodynamics States01:21

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Consider the two thermodynamic processes involving an ideal gas that are represented by paths AC and ABC in Figure 1:
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Consider the adiabatic compression of an ideal gas in the cylinder of an automobile diesel engine. The gasoline vapor is injected into the cylinder of an automobile engine when the piston is in its expanded position. The temperature, pressure, and volume of the resulting gas-air mixture are 20 °C, 1.00 x 105 N/m2, and 240 cm3 , respectively. The mixture is then compressed adiabatically to a volume of 40 cm3. Note that, in the actual operation of an automobile engine, the compression is not...
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Deactivation Processes: Jablonski Diagram01:25

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Luminescence, the emission of light by a substance that has absorbed energy, is a process that involves the interaction of molecules with light. The energy-level diagram, or Jablonski diagram, is a graphical representation of these interactions, illustrating the various states and transitions a molecule can undergo. In a typical Jablonski diagram, the lowest horizontal line represents the ground-state energy of the molecule, which is usually a singlet state. This state represents the energies...
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Free Energy Changes for Nonstandard States

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The free energy change for a process taking place with reactants and products present under nonstandard conditions (pressures other than 1 bar; concentrations other than 1 M) is related to the standard free energy change according to this equation:
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The Entropy as a State Function01:14

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Consider an arbitrary process that moves between two specific states (A and B) in a cyclic manner. This process is reversible and broken down into smaller parts that each follow a Carnot cycle. A Carnot cycle has two isothermal (constant temperature) processes. During these processes, the ratio of the amount of heat transferred to their respective temperature remains constant. The other two processes in the Carnot cycle are also reversible but adiabatic, which means they occur without any heat...
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Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
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Speeding up Adiabatic Quantum State Transfer by Using Dressed States.

Alexandre Baksic1, Hugo Ribeiro1, Aashish A Clerk1

  • 1Department of Physics, McGill University, 3600 rue University, Montréal, Quebec H3A 2T8, Canada.

Physical Review Letters
|June 25, 2016
PubMed
Summary

We developed new pulse schemes to accelerate adiabatic state transfer. This method uses corrected Hamiltonians to precisely guide systems through dressed states, enabling faster, more efficient state transfer without extra couplings.

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Area of Science:

  • Quantum control
  • Atomic, molecular, and optical physics

Background:

  • Adiabatic state transfer protocols are crucial for quantum technologies.
  • Existing methods often face limitations in speed and efficiency.

Purpose of the Study:

  • To develop novel pulse schemes for significantly faster adiabatic state transfer.
  • To enhance the efficiency of stimulated Raman adiabatic passage protocols.

Main Methods:

  • Developing a general strategy by adding corrections to the control Hamiltonian.
  • Harnessing nonadiabatic transitions to define exact dressed states.
  • Applying the approach to stimulated Raman adiabatic passage.

Main Results:

  • Demonstrated significantly faster adiabatic state transfer protocols.
  • Showcased protocols that do not require additional couplings.
  • Achieved minimization of intermediate level occupancy during state transfer.

Conclusions:

  • The new pulse schemes offer a substantial speedup for adiabatic state transfer.
  • The method provides a versatile approach to designing efficient quantum control protocols.
  • This advancement is key for improving the performance of quantum information processing.