Quantum circuits for digital quantum simulation of nonlocal electron-phonon coupling
- URL: http://arxiv.org/abs/2410.08123v1
- Date: Thu, 10 Oct 2024 17:07:57 GMT
- Title: Quantum circuits for digital quantum simulation of nonlocal electron-phonon coupling
- Authors: Vladimir M. Stojanovic,
- Abstract summary: We propose a digital quantum simulator of a one-dimensional lattice model describing an itinerant fermionic excitation.
A circuit that generates the natural initial (pre-quench) state of this system is presented.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Motivated by the compelling need to understand the nonequilibrium dynamics of small-polaron formation following an electron-phonon interaction quench, in this work we propose a digital quantum simulator of a one-dimensional lattice model describing an itinerant fermionic excitation (e.g. an electron) nonlocally coupled to zero-dimensional bosons (e.g. Einstein-type phonons). Quantum circuits implementing the dynamics of this model, which includes Peierls- and breathing-mode-type excitation-boson interactions, are designed here, their complexity scaling linearly with the system size. A circuit that generates the natural initial (pre-quench) state of this system -- a bare-excitation Bloch state, equivalent to a $W$ state of a qubit register -- is also presented. To facilitate comparisons with the proposed simulator, once experimentally realized, the system dynamics are also evaluated numerically and characterized through the Loschmidt echo and various correlation functions.
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