Integrable many-body Landau-Zener problems
Date/Time: 18:30 22-Jun-2020
Abstract:
In the emerging field of coherent many-body dynamics, we seek to understand the behavior of an isolated quantum many-body system driven far from equilibrium by changing its Hamiltonian in time. The nontrivial nature of this problem is in Landau-Zener tunneling between the adiabatic eigenstates. In this talk, I will identify a general class of many-body Hamiltonians for which this problem is exactly solvable.
Interesting models that emerge from this approach include a superconductor with the interaction strength inversely proportional to time, a Floquet BCS superconductor, and the problem of molecular production in an atomic Fermi gas swept through a Feshbach resonance as well as various matrix models of multi-level Landau-Zener tunneling. I will show how to solve the non-stationary Schrodinger equation exactly for all these models and discuss some interesting physics that emerges at large times.
References
1. E. A. Yuzbashyan, Ann. Phys. 392, 323 (2018)
2. N. A. Sinitsyn, E. A. Yuzbashyan, V. Y. Chernyak, A. Patra, C. Sun, Phys. Rev. Lett 120, 190402 (2018)
3. A. Patra and E. A. Yuzbashyan, J. Phys. A 48, 245303 (2015)
Interesting models that emerge from this approach include a superconductor with the interaction strength inversely proportional to time, a Floquet BCS superconductor, and the problem of molecular production in an atomic Fermi gas swept through a Feshbach resonance as well as various matrix models of multi-level Landau-Zener tunneling. I will show how to solve the non-stationary Schrodinger equation exactly for all these models and discuss some interesting physics that emerges at large times.
References
1. E. A. Yuzbashyan, Ann. Phys. 392, 323 (2018)
2. N. A. Sinitsyn, E. A. Yuzbashyan, V. Y. Chernyak, A. Patra, C. Sun, Phys. Rev. Lett 120, 190402 (2018)
3. A. Patra and E. A. Yuzbashyan, J. Phys. A 48, 245303 (2015)
Video
Authors
Yuzbashyan Emil
(Presenter)
(no additional information)
(Presenter)