Abstract
Gauge magnetic fields have a close relation to breaking time-reversal symmetry in condensed matter. In the presence of the gauge fields, we might observe nonreciprocal and topological transport. Inspired by these, there is a growing effort to realize exotic transport phenomena in optical and acoustic systems. However, due to charge neutrality, realizing analog magnetic flux for phonons in nanoscale systems is still challenging in both theoretical and experimental studies. Here we propose a novel mechanism to generate synthetic magnetic field for phonon lattice by Floquet engineering auxiliary qubits. We find that, a longitudinal Floquet drive on the qubit will produce a resonant coupling between two detuned acoustic cavities. Specially, the phase encoded into the longitudinal drive can exactly be transformed into the phonon–phonon hopping. Our proposal is general and can be realized in various types of artificial hybrid quantum systems. Moreover, by taking surface-acoustic-wave (SAW) cavities for example, we propose how to generate synthetic magnetic flux for phonon transport. In the presence of synthetic magnetic flux, the time-reversal symmetry will be broken, which allows one to realize the circulator transport and analog Aharonov–Bohm effects for acoustic waves. Last, we demonstrate that our proposal can be scaled to simulate topological states of matter in quantum acoustodynamics system.
Highlights
A moving electron can feel a magnetic field, and due to the path-dependent phases, many exotic transport phenomena, including the Aharonov-Bohm (AB) effect, matter-wave interference and chiral propagation, can be observed in experiments [1,2,3]
We demonstrate that our proposal can be scaled to simulate topological states of matter in quantum acoustodynamics system
Different from previous methods based on optomechanical systems [15, 20, 27], we find that the Floquet driving can be effectively realized in an opposite way, i.e, via the unconventional cavity optomechanics (UOM) discussed in Ref. [52], where the mechanical frequency is effectively modulated by an electromagnetic field via an auxiliary qubit
Summary
A moving electron can feel a magnetic field, and due to the path-dependent phases, many exotic transport phenomena, including the Aharonov-Bohm (AB) effect, matter-wave interference and chiral propagation, can be observed in experiments [1,2,3]. Much efforts have been devoted into realizing synthetic magnetism for neutral particles, in the artificial quantum systems [7, 16,17,18,19,20,21] These include exploring topological photonics and phononics in circuitQED-based photon lattices, optomechanical arrays and microwave cavity systems [15, 22,23,24,25,26]. By applying an external time periodic drive on a static system, the effective Hamiltonian of the whole system for the longtime evolution can be tailed freely, which allows to observe topological band properties This approach is referred as Floquet engineering [49,50,51], and has been exploited to simulate the topological toy models such as Haldane and HarperHofstadter lattices in artificial systems [21]. Our findings might pave another way to simulate the topological models by breaking TRS for charge neutral polaritons
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