Nonequilibrium quantum phase transition in a spinor quantum gas in a lattice coupled to a membrane

Xu, Xingran; Zhang, Zhidong; Liang, Zhaoxin

doi:10.1103/physreva.100.053616

Cited by 8 publications

(4 citation statements)

References 35 publications

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“…More importantly, both G and δ are Fock-state independent that is the key to a generic conversion rather than the state transfer in special subspaces. It should be emphasised that the similar effective Hamiltonian could also be obtained by adiabatic elimination [35][36][37] in analog hybrid systems. The effective Hamiltonian in Eq.…”

Section: Model and The Effective Hamiltonianmentioning

confidence: 94%

Magnon-assisted photon-phonon conversion in the presence of the structured environments

Qi,

Jing

2020

Preprint

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Quantum conversion or interface is one of the most prominent protocols in quantum information processing and quantum state engineering. We propose a photon-phonon conversion protocol in a hybrid magnomechanical system comprising a microwave optical mode, a driven magnon mode and a mechanical-vibrating mode. The microwave photons in the optical cavity are coupled to the magnons by the magnetic-dipole interaction, and the latter are coupled to the mechanical phonons by the magnetostrictive interaction. With strong photon-magnon interaction and strong driving on magnon, an effective Hamiltonian is constructed to describe the conversion between photons and phonons nearby their resonant point. The cavity-magnon system can then play the role of a quantum memory. Moreover, the faithfulness of the photon-phonon conversion is estimated in terms of fidelities for state evolution and state-independent transfer. The former is discussed in the Lindblad master equation taking account the leakages of photon, phonon and magnon into consideration. The latter is derived by the Heisenberg-Langevin equation considering the non-Markovian noise from the structured environments for both optical and mechanical modes. The state-evolution fidelity is found to be robust to the weak leakage. The transfer fidelity can be maintained by the Ohmic and sub-Ohmic environments of the photons and is insensitive to the 1/f noise of the phonons. Our work thus provides an interesting application for the magnon system as a photon-phonon converter in the microwave regime.

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Section: Model and The Effective Hamiltonianmentioning

confidence: 94%

Magnon-assisted photon-phonon conversion in the presence of the structured environments

Qi,

Jing

2020

Preprint

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show abstract

“…For example, the mechanical oscillator can be cooled down by enhancing the effective coupling strength between the membrane and the atom 1,2,[5][6][7][8] . At the same time, the BECs can have a nonequilibrium phase transition from the normal phase to the self-organized super-radiant phase [9][10][11][12][13][14] due to the Z 2 symmetry breaking 15 . The system is also applicable for metrology [16][17][18] and quantum simulations 19,20 .…”

Section: Introductionmentioning

confidence: 99%

Limit Cycles and Chaos in the Hybrid Atom-Optomechanics System

Krisnanda

Liew

2022

Preprint

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We consider atoms in two different periodic potentials induced by different lasers, one of which is coupled to a mechanical membrane via radiation pressure force. The atoms are intrinsically two-level systems that can absorb or emit photons, but the dynamics of their position and momentum are treated classically. On the other hand, the membrane, the cavity field, and the intrinsic two-level atoms are treated quantum mechanically. We show that the mean excitation of the three systems can be stable, periodically oscillating, or in a chaotic state depending on the strength of the coupling between them. We define regular,time-periodicl, and chaotic phases, and present a phase diagram where the three phases can be achieved by manipulating the field-membrane and field-atom coupling strengths. The first and second-order correlation functions in different phases are also calculated, which can be observed in experiments. Our proposal offers a new way to generate and tune time-periodic and chaotic phases in a well-established atom-optomechanics system.

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“…For example, the mechanical oscillator can be cooled down by enhancing the effective coupling strength between the membrane and the atom [5,2,1,6,7,8]. At the same time, the BECs can have a nonequilibrium phase transition from Xingran Xu: thoexxr@hotmail.com Timothy C. H. Liew: TimothyLiew@ntu.edu.sg the normal phase to the self-organized super-radiant phase [9,10,11,12,13] due to the Z 2 symmetry breaking [14]. The system is also applicable for metrology [15,16,17] and quantum simulations [18,19].…”

Section: Introductionmentioning

confidence: 99%

Time crystal and chaos in the hybrid atom-optomechanics system

Xu,

Krisnanda,

Liew

2021

Preprint

Self Cite

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We consider atoms in two different periodic potentials induced by different lasers, one of which is coupled to a mechanical membrane via radiation pressure force. The atoms are intrinsically two-level systems that can absorb or emit photons, but the dynamics of their position and momentum are treated classically. On the other hand, the membrane, the cavity field, and the intrinsic two-level atoms are treated quantum mechanically. We show that the mean excitation of the three systems can be stable, periodically oscillating, or in a chaotic state depending on the strength of the coupling between them. We define regular, time crystal, and chaotic phases, and present a phase diagram where the three phases can be achieved by manipulating the field-membrane and field-atom coupling strengths. The first and second-order correlation functions in different phases are also calculated, which can be observed in experiments. Our proposal offers a new way to generate and tune time crystal and chaotic phases in a well-established atomoptomechanics system.

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Nonequilibrium quantum phase transition in a spinor quantum gas in a lattice coupled to a membrane

Cited by 8 publications

References 35 publications

Magnon-assisted photon-phonon conversion in the presence of the structured environments

Magnon-assisted photon-phonon conversion in the presence of the structured environments

Limit Cycles and Chaos in the Hybrid Atom-Optomechanics System

Time crystal and chaos in the hybrid atom-optomechanics system

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