Relation between spin dephasing time T2* and spin relaxation time

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SUMMARY

The discussion centers on the relationship between spin dephasing time (T2*) and spin relaxation time (T2) of electrons. It is established that T2* cannot exceed T2 and is influenced by decoherence within an ensemble of electrons. The electron spin g-factor (g_e) plays a crucial role in this relationship, particularly in relation to spatial field homogeneity. The derivation of the equation linking T2* and T2 can be found in quantum mechanics textbooks, with Cohen-Tannoudji being a recommended resource.

PREREQUISITES
  • Understanding of spin dephasing time (T2*) and spin relaxation time (T2)
  • Familiarity with the electron spin g-factor (g_e)
  • Knowledge of Larmor precession in magnetic fields
  • Basic principles of quantum mechanics
NEXT STEPS
  • Study the derivation of the relationship between T2* and T2 in quantum mechanics textbooks, particularly Cohen-Tannoudji
  • Research the concept of decoherence in quantum systems
  • Explore the implications of spatial field homogeneity on electron spin dynamics
  • Examine the role of the electron spin g-factor in magnetic resonance
USEFUL FOR

Students and researchers in quantum mechanics, physicists studying electron spin dynamics, and anyone interested in the principles of magnetic resonance and decoherence effects.

rafaelg7
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Homework Statement: spin dephasing time
Homework Equations: spin relaxation time

Hello, i have seen the next equation that relates the spin dephasing time of an ensemble of électrons T2* with the spin relaxation of a single electron T2, and I would like to know how it was deduced/proposed:

para preguntar.jpg


Thank you in advance
 
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It would be helpful if you included more information from your text, particularly what g_e is. I'm guessing that it's some type of coherence parameter. The "dephasing time" cannot be longer than the electron's relaxation time, and is shortened by decoherence of the ensemble. I imagine that g_e is related to the spatial field homogeneity.
 
marcusl said:
It would be helpful if you included more information from your text, particularly what g_e is.
It is the electron spin g-factor.

@rafaelg7: The equation comes from the precession of an electron in a magnetic field. You will find a derivation in most QM textbooks (as often, I recommend Cohen-Tannoudji for this). You can also look up
https://en.wikipedia.org/wiki/Larmor_precession
 
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