Quantum circuits for digital quantum simulation of nonlocal electron-phonon coupling
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929535772000256 |
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| author | Stojanovic, Vladimir M. |
| author_facet | Stojanovic, Vladimir M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08123 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum circuits for digital quantum simulation of nonlocal electron-phonon coupling Stojanovic, Vladimir M. Quantum Physics 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. |
| title | Quantum circuits for digital quantum simulation of nonlocal electron-phonon coupling |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2410.08123 |