Manipulation of quantum phase transitions with <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e854" altimg="si4.svg"><mml:msub><mml:mrow><mml:mi>Z</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> symmetry for a realistic hybrid system

Yang, Shuang-Liang; Lü, Dong-Yan; Li, Xinke; Badshah, Fazal; Jin, Long; Fu, Yanhua; Wang, Guanghui; Dong, Yan-Zhang; Zhou, Yuan

doi:10.1016/j.rinp.2022.105425

Cited by 3 publications

(5 citation statements)

References 51 publications

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“…In addition, we also consider that other hybrid systems can also accomplish this simulation process, i.e. the superconductive circuits [61,94], the optical cavities [95], and the optical lattice [96,97] coupled to the BECs and others solid-state spins, etc [81,98]. The previous investigations have also shown the relevant results on this topic.…”

Section: The Feasible Schemes and Discussionmentioning

confidence: 99%

Simulating the Dicke lattice model and quantum phase transitions using an array of coupled resonators

Leng

Lü

Yang

et al. 2022

J. Phys.: Condens. Matter

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A proposal for simulating the Dicke-Lattice model in a mechanics-controlled hybrid quantum system is studied here. Where an array of coupled mechanical resonators (MRs) homogeneously interact with a group of trapped Bose-Einstein condensates (BECs) through the gradient magnetic ﬁeld induced by the oscillating resonators. Assisted by the classical dichromatic radio-wave (RW) ﬁelds, each subsystem with a pair of BEC-MR interaction can mimic the Dicke type spin-phonon interaction, and the whole system is therefore extended to a lattice of Dicke models with an additional adjacent phonon-phonon hopping couplings. For this lattice model with the Z2 symmetry, its quantum phase transitions (QPTs) behavior can be controlled by this periodic phonon-phonon interaction in the momentum space. This investigation may be considered as a fresh attempt on manipulating the critical behavior of the collective spins through the external mechanics method.

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Section: The Feasible Schemes and Discussionmentioning

confidence: 99%

Simulating the Dicke lattice model and quantum phase transitions using an array of coupled resonators

Leng

Lü

Yang

et al. 2022

J. Phys.: Condens. Matter

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“…Here ζ , so we can safely ignore this type of fluctuation items during the QPTs simulation process, which denotes the core mechanism of the so-called average-field approximation. Therefore, we can get Ŝk Ŝl → Ŝk Ŝl , where k, l ∈ {x, y, z} [44][45][46]. To simulate the QCBs of this opened system more clearly, we can get a group of differential equations for describing the collective spins' expected values through Ŝi = Tr(ρ Ŝi ).…”

Section: Qpts Of Non-hermitian Tc Model With a Second-order Drivementioning

confidence: 99%

“…To simulate the QCBs of this opened system more clearly, we can get a group of differential equations for describing the collective spins' expected values through Ŝi = Tr(ρ Ŝi ). We can also introduce the normalization operations for Ŝk = NK, and â = √ Nα with K ∈ {X, Y, Z} and α = α Re + α Im , respectively [45]. Then we can get this series of semiclassical equations [40]:…”

Section: Qpts Of Non-hermitian Tc Model With a Second-order Drivementioning

confidence: 99%

“…We can get a stable phase diagram with the different regions, which is mainly divided into three distinct areas by two different boundary lines above, i.e. the pink solid line and the navy dashed line [45]. As illustrated in figure 8, these 3D diagrams are mainly divided into three categories: area I (the normal phase (NP)), area II (the superradiant phase (SP)), and area III (the bistable phase (BP)).…”

Section: Qpts Of Non-hermitian Tc Model With a Second-order Drivementioning

confidence: 99%

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Symmetry breaking and competition effect in phase transitions

Yang

Luo

Badshah

et al. 2023

J. Phys.: Condens. Matter

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This study is started from a photon-magnon model with a competition eﬀect of the level attraction and repulsion, its Hermiticity is mainly decided by a phase-dependent and asymmetric coupling factor, namely ϕ = 0 for Hermitian and ϕ = π for non-Hermitian. Then an extensional study predicts the quantum critical behaviors (QCBs) using an Hermitian and even no-Hermitian photon-spins model with an additional second-order drive. The numerical results ﬁrstly indicate that this coupling phase ϕ can function the protective eﬀect on quantum phase transitions (QPTs), and the new tricritical points can not only be modulated by this nonlinear drive, but also be inﬂuenced by the dissipation and the collective decoherence. Secondly, this competition eﬀect can also induce a reversal of the value of order parameters between the positive and negative. This study can also bring more important results of QPTs towards the issue of symmetry breaking and non-Hermiticity.

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“…α = β = τ = 0. To deal with this issue, we may refer to several previous investigations on breaking the systemic symmetry and inducing QPTs [53][54][55][56][57][58][59][60]. Thereafter, we here apply a classical drive interaction to this optical mode, i.e.…”

Section: Qpts Induced By Single-molecule Vibrationmentioning

confidence: 99%

Molecule–plasmon–photon hybridization and applications

Lü¹,

Badshah²,

Li³

et al. 2023

J. Phys. D: Appl. Phys.

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We study a potential hybrid quantum system with a plasmonic nanocavity coupled to a vibrating mode of single molecule and another optical cavity mode. To explore some important and valuable applications in quantum physics, we discuss and estimate several different applications with respect to the plasmon-mediated quantum interface, the plasmon-assisted engineering of two-mode continuous-variable entanglement, and pursuing an indirect and ultrastrong molecule-photon cooperativity. In addition, governed by the relation of symmetry breaking and quantum phase transitions (QPTs), the single-molecule induced QPTs is also studied in this tripartite hybrid quantum system. This theoretical study can strongly support the potential applications of this hybrid system in the field of quantum information processing (QIP). It is believed that our investigation on molecule-plasmon-photon hybridization can not only open a new avenue towards quantum manipulations, but also provide a fresh and reliable platform to carry out many applications with high efficiencies.

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Manipulation of quantum phase transitions with Z2 symmetry for a realistic hybrid system

Cited by 3 publications

References 51 publications

Simulating the Dicke lattice model and quantum phase transitions using an array of coupled resonators

Simulating the Dicke lattice model and quantum phase transitions using an array of coupled resonators

Symmetry breaking and competition effect in phase transitions

Molecule–plasmon–photon hybridization and applications

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