Quantum dynamics in a tiered non-Markovian environment
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| License | CC Attribution 3.0 Unported: You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. | |
| Identifiers | 10.5446/38778 (DOI) | |
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Transcript: English(auto-generated)
00:04
quantum dynamics in a tiered non-mycovian environment. The present paper introduces a new analytical method for studying quantum systems which are in tiered environments. Amir, care to explain what a tiered environment is? Thank you Eric.
00:22
The motivation for this paper comes from a frequently calling situation where we have a system of interest that we can make measurements on. This system is coupled to its immediate environment and this immediate environment in turn is coupled to a wider universe. This is what we call a tiered environment.
00:41
This includes many examples of discrete quantum systems interacting with an optical or a mechanical resonator such as NV centers on diamond cantilevers where the NV center is our system of interest and the cantilever is its immediate environment which is damped by the bark.
01:01
Other similar systems include quantum dots on carbon nanotubes, nano-mechanical resonators coupled to quantum dots or superconducting qubits and superconducting circuits, QED. Another maybe more complex example is the energy transfer model in photosynthesis in bacteria
01:22
where our system consists of a few chlorophylls. Those chlorophylls are held by a protein scaffold being their immediate environment and the vibrations in the scaffold is then damped by the surrounding water i.e. the universe.
01:40
That sounds interesting. I understand that you model the immediate environment in a non-Makovian manner while the wider universe is modeled by a zero-memory bath simply using Lindblad operators that act on the immediate environment alone. Strictly speaking, Lindblad operators should only move you between energy eigenstates of the system plus environment
02:02
and not only environment. How do you justify your model? This is a very good point. Well, of course you are correct. So this model is indeed valid when the coupling between the system and environment and environment-universe are weak. Other than that, there are no restrictions.
02:21
The system and material can be whatever, including time-dependent and the coupling to the immediate environment can be quite general with no restriction on the spectral density. Very well. And what do you find? How does this additional environmental tier affect the system?
02:42
We find that the effect of adding a wider universe or a second tier effectively modifies the response function of the environment by adding a cutoff to the response but in a manner that cannot be accounted for by simply having an effective or modified spectral density. Also, we find that the steady state of the system
03:02
differs from the thermal state of the system in the universe's temperature, as shown in our Figure 2, even in the very weak coupling limit. This came to us as a surprise, but it is validated by exact numerics. Also, we provide an expansion of the system dynamics
03:22
in the system-environment coupling in the presence of the wider universe and show that it falls back to the standard time-compolutionless expansion when there is only a single tier. Thank you, Amir. I also understand that this method remains applicable when the environment has a few dominant damped modes
03:44
as well as a smooth background, which sounds very useful. Thank you. Hope you guys enjoy reading the paper.