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Interaction of a 2-level system with 2D phonons

利正 藤澤, T. Fujisawa

Published Jan 1, 2007• 0 citations
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Using the microscopic model Hamiltonian, the equations for order parameter and chemical potential have been obtained for a system of Fermi-particles interacting with phonons which permit an analysis of its superconducting properties to be made for an arbitrary fermion concentration. The solution of the equations is given that makes it possible to trace the crossover from a local pair regime to Cooper pairing. The type of superconducting behavior is shown to depend on both the position of the Fermi level with respect to a maximum phonon energy and strength of indirect interactions between fermions.

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Quantum-state engineering in cavity magnomechanics formed by two-dimensional magnetic materials

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Abstract Cavity magnomechanics has become an ideal platform to explore macroscopic quantum effects. Bringing together magnons, phonons, and photons in a system, it opens many opportunities for quantum technologies. It was conventionally realized by an yttrium iron garnet, which exhibits a parametric magnon–phonon coupling m ˆ † m ˆ ( b ˆ † + b ˆ ) , with m ˆ and b ˆ being the magnon and phonon modes. Inspired by the recent realization of two-dimensional (2D) magnets, we propose a cavity magnomechanical system using a 2D magnetic material with both optical and magnetic drivings. It features the coexisting photon–phonon radiation-pressure coupling and quadratic magnon–phonon coupling m ˆ † m ˆ ( b ˆ † + b ˆ ) 2 induced by the magnetostrictive interaction. A stable squeezing of the phonon and bi- and tri-partite entanglements among the three modes are generated in the regimes with a suppressed phonon number. Compared with previous schemes, ours does not require any extra nonlinear interaction and reservoir engineering and is robust against the thermal fluctuation. Enriching the realization of cavity magnomechanics, our system exhibits its superiority in quantum-state engineering due to the versatile interactions enabled by its 2D feature.

arXiv:2210.15519•New Journal of Physics•Feb 1, 2024•7 citations
Using the microscopic model Hamiltonian, the equations for order parameter and chemical potential have been obtained for a system of Fermi-particles interacting with phonons which permit an analysis of its superconducting properties to be made for an arbitrary fermion concentration. The solution of the equations is given that makes it possible to trace the crossover from a local pair regime to Cooper pairing. The type of superconducting behavior is shown to depend on both the position of the Fermi level with respect to a maximum phonon energy and strength of indirect interactions between fermions.
Abstract Cavity magnomechanics has become an ideal platform to explore macroscopic quantum effects. Bringing together magnons, phonons, and photons in a system, it opens many opportunities for quantum technologies. It was conventionally realized by an yttrium iron garnet, which exhibits a parametric magnon–phonon coupling m ˆ † m ˆ ( b ˆ † + b ˆ ) , with m ˆ and b ˆ being the magnon and phonon modes. Inspired by the recent realization of two-dimensional (2D) magnets, we propose a cavity magnomechanical system using a 2D magnetic material with both optical and magnetic drivings. It features the coexisting photon–phonon radiation-pressure coupling and quadratic magnon–phonon coupling m ˆ † m ˆ ( b ˆ † + b ˆ ) 2 induced by the magnetostrictive interaction. A stable squeezing of the phonon and bi- and tri-partite entanglements among the three modes are generated in the regimes with a suppressed phonon number. Compared with previous schemes, ours does not require any extra nonlinear interaction and reservoir engineering and is robust against the thermal fluctuation. Enriching the realization of cavity magnomechanics, our system exhibits its superiority in quantum-state engineering due to the versatile interactions enabled by its 2D feature.