Find density matrice at zero and infinity temperature

  • Thread starter romeo31415
  • Start date
  • #1

Homework Statement


upload_2015-1-16_9-52-47.png


Homework Equations



https://www.physicsforums.com/attachments/upload_2015-1-15_18-57-56-png.77691/ [Broken]
Density matrix for a 2 state system is:
https://www.physicsforums.com/attachments/upload_2015-1-15_19-1-30-png.77694/ [Broken]

The Attempt at a Solution


For a 2 finite state system, the matrice density at limit temperature is
https://www.physicsforums.com/attachments/upload_2015-1-15_18-59-39-png.77692/ [Broken]
https://www.physicsforums.com/attachments/upload_2015-1-15_18-59-56-png.77693/ [Broken]
[/B]


The Attempt at a Solution

 
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Answers and Replies

  • #2
DrClaude
Mentor
7,551
3,892
You wrote the density matrix in terms of the energy and ##\beta##. What does the finite temperature density matrix in the problems tell you about ##E_1## and ##E_2##?

Could you give some details about how you reached the solutions you wrote?
 
  • #3

Homework Equations



Density matrix for a 2 state system is:
upload_2015-1-16_23-10-22.png





The Attempt at a Solution


For a 2 finite state system, the matrice density at limit temperature is
upload_2015-1-16_23-11-35.png
[/B]
Evolution of the density matrix
upload_2015-1-16_23-12-31.png
 

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