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An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder
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An apparent limit on the temperature achievable by laser

Chapter 4, Problem 36P

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QUESTION:

An apparent limit on the temperature achievable by laser cooling is reached when an atom’s recoil energy from absorbing or emitting a single photon is comparable to its total kinetic energy. Make a rough estimate of this limiting temperature for rubidium atoms that are cooled using laser light with a wavelength of 780 nm.

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QUESTION:

An apparent limit on the temperature achievable by laser cooling is reached when an atom’s recoil energy from absorbing or emitting a single photon is comparable to its total kinetic energy. Make a rough estimate of this limiting temperature for rubidium atoms that are cooled using laser light with a wavelength of 780 nm.

ANSWER:

Step 1 of 4

According to equipartition theorem, the kinetic energy associated with each atom is given by

For rubidium atom, the number of degrees of freedom is

Hence the total kinetic energy is  

Here  is the Boltzmann constant and  is the limiting temperature to be determined.

An apparent limit on the temperature achievable by laser cooling is reached when an atom's recoil energy from absorbing or emitting a single photon is comparable to its total kinetic energy.

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