Programmable XY-type couplings through parallel spin-dependent forces on the same trapped ion motional modes
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| Main Authors: | , , , , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866909208376508416 |
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| author | Kotibhaskar, Nikhil Shih, Chung-You Motlakunta, Sainath Vogliano, Anthony Hahn, Lewis Chen, Yu-Ting Islam, Rajibul |
| author_facet | Kotibhaskar, Nikhil Shih, Chung-You Motlakunta, Sainath Vogliano, Anthony Hahn, Lewis Chen, Yu-Ting Islam, Rajibul |
| contents | We propose and experimentally demonstrate an analog scheme for generating XY-type ($J_{ij}^x σ_x^i σ_x^j \;$ + $J_{ij}^y σ_y^i σ_y^j \;$) Hamiltonians on trapped ion spins with independent control over the $J_{ij}^x$ and $J_{ij}^y$ terms. The Ising-type interactions $σ_x^i σ_x^j \;$ and $σ_y^i σ_y^j \;$ are simultaneously generated by employing two spin-dependent forces operating in parallel on the same set of normal modes. We analytically calculate the region of validity of this scheme, and provide numerical and experimental validation with $^{171}\rm{Yb}^+\;$ ions. This scheme inherits the programmability and scalability of the Ising-type interactions with trapped ions that have been explored in numerous quantum simulation experiments. Our approach extends the capabilities of existing trapped ion quantum simulators to access a large class of spin Hamiltonians relevant for exploring exotic quantum phases such as superfluidity and spin liquids. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2307_04922 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Programmable XY-type couplings through parallel spin-dependent forces on the same trapped ion motional modes Kotibhaskar, Nikhil Shih, Chung-You Motlakunta, Sainath Vogliano, Anthony Hahn, Lewis Chen, Yu-Ting Islam, Rajibul Quantum Physics Other Condensed Matter Soft Condensed Matter Superconductivity Atomic Physics We propose and experimentally demonstrate an analog scheme for generating XY-type ($J_{ij}^x σ_x^i σ_x^j \;$ + $J_{ij}^y σ_y^i σ_y^j \;$) Hamiltonians on trapped ion spins with independent control over the $J_{ij}^x$ and $J_{ij}^y$ terms. The Ising-type interactions $σ_x^i σ_x^j \;$ and $σ_y^i σ_y^j \;$ are simultaneously generated by employing two spin-dependent forces operating in parallel on the same set of normal modes. We analytically calculate the region of validity of this scheme, and provide numerical and experimental validation with $^{171}\rm{Yb}^+\;$ ions. This scheme inherits the programmability and scalability of the Ising-type interactions with trapped ions that have been explored in numerous quantum simulation experiments. Our approach extends the capabilities of existing trapped ion quantum simulators to access a large class of spin Hamiltonians relevant for exploring exotic quantum phases such as superfluidity and spin liquids. |
| title | Programmable XY-type couplings through parallel spin-dependent forces on the same trapped ion motional modes |
| topic | Quantum Physics Other Condensed Matter Soft Condensed Matter Superconductivity Atomic Physics |
| url | https://arxiv.org/abs/2307.04922 |