Quench dynamics in higher-dimensional Holstein models: Insights from Truncated Wigner Approaches
- URL: http://arxiv.org/abs/2312.12291v2
- Date: Sun, 12 May 2024 11:07:24 GMT
- Title: Quench dynamics in higher-dimensional Holstein models: Insights from Truncated Wigner Approaches
- Authors: Eva Paprotzki, Alexander Osterkorn, Vibhu Mishra, Stefan Kehrein,
- Abstract summary: We study the melting of charge-density waves in a Holstein model after a sudden switch-on of the electronic hopping.
A comparison with exact data obtained for a Holstein chain shows that a semiclassical treatment of both the electrons and phonons is required in order to correctly describe the phononic dynamics.
- Score: 41.94295877935867
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Charge-density wave phases in quantum materials stem from the complex interplay of electronic and lattice degrees of freedom. Nowadays, various time-resolved spectroscopy techniques allow to actively manipulate such phases and monitor their dynamics in real time. Modeling such nonequilibrium dynamics theoretically is a great challenge and exact methods can usually only treat a small number of atoms and finitely many phonons. We approach the melting of charge-density waves in a Holstein model after a sudden switch-on of the electronic hopping from two perspectives: We prove that in the non-interacting and in the strong-coupling limit, the CDW order parameter on high-dimensional hypercubic lattices obeys a factorization relation for long times, such that its dynamics can be reduced to the one-dimensional case. Secondly, we present numerical results from semiclassical techniques based on the Truncated Wigner Approximation for two spatial dimensions. A comparison with exact data obtained for a Holstein chain shows that a semiclassical treatment of both the electrons and phonons is required in order to correctly describe the phononic dynamics. This is confirmed, in addition, for a quench in the electron-phonon coupling strength.
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