Simulation of a quantum phase transition of polaritons with trapped ions
We present a novel system for the simulation of quantum phase transitions of collective internal qubit and phononic states with a linear crystal of trapped ions. The laser-ion interaction creates an energy gap in the excitation spectrum, which induces an effective phonon-phonon repulsion and a Jayne...
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| Veröffentlicht in: | arXiv.org 2009-05 |
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| creator | Ivanov, P A Ivanov, S S Vitanov, N V Mering, A Fleischhauer, M Singer, K |
| description | We present a novel system for the simulation of quantum phase transitions of collective internal qubit and phononic states with a linear crystal of trapped ions. The laser-ion interaction creates an energy gap in the excitation spectrum, which induces an effective phonon-phonon repulsion and a Jaynes-Cummings-Hubbard interaction. This system shows features equivalent to phase transitions of polaritons in coupled cavity arrays. Trapped ions allow for easy tunabilty of the hopping frequency by adjusting the axial trapping frequency, and the phonon-phonon repulsion via the laser detuning and intensity. We propose an experimental protocol to access all observables of the system, which allows one to obtain signatures of the quantum phase transitions even with a small number of ions. |
| doi_str_mv | 10.48550/arxiv.0905.2593 |
| format | Article |
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| subjects | Energy gap Excitation spectra Phase transitions Phonons Physics - Quantum Physics Polaritons Qubits (quantum computing) |
| title | Simulation of a quantum phase transition of polaritons with trapped ions |
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