# What is the decoherence rate and the thermal de Broglie wavelength in quantum Brownian motion?

I know that when the thermal de Broglie wavelength is on the order of the interparticle distance, the gas must be treated as a Fermi gas or a Bose gas, depending on the nature of the gas particles. I would like to know how much change in the decoherence rate in a Bose gas could make it classical given the critical temperature $$T_{c}$$?

• This could become a good question, but at the moment it's way too vague to attract decent answers. Please try to add more background to the question and explain what specific concept you do not understand. – Mark Mitchison Nov 21 '18 at 15:12
• I changed the question to make it more specific if you think it is still too vague help me formulate it better please! – Looser Nov 21 '18 at 15:42