Collective decay induce quantum phase transition in a well-controlled hybrid quantum system

Lü, Dong-Yan; Wang, Guanghui; Zhou, Yuan; Li, Xu; Hu, Yong-Jin; Zeng, Wei-You; Wang, Qinglan

doi:10.1016/j.rinp.2021.103832

Cited by 6 publications

(7 citation statements)

References 72 publications

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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%

“…In view of equation ( 7) firstly, only if the constraint condition satisfies b 2 − 4ac ⩾ 0, the system will reach the QPTs threshold, namely ϕ = nπ (n is an integer number ), so that the coupling phase ϕ can protect the QPTs in this proposal, no matter the Hamiltonian is Hermitian (ϕ = 2nπ) or non-Hermitian (ϕ = (2n + 1)π) [46]. Here we state, the phase term caused by the competition effect is e iϕ , the QPTs occur only when the coupling phase takes an integer multiple of π, namely ϕ = nπ, otherwise, item b 2 − 4ac contains the imaginary part, and we can not get the real order parameter Z ± .…”

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

confidence: 99%

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

confidence: 99%

Symmetry breaking and competition effect in phase transitions

Yang

Luo

Badshah

et al. 2023

J. Phys.: Condens. Matter

Self Cite

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show abstract

“…The differential equations of the collective spins' expected values are derived from Ĵk = T r(ρ Ĵk ), and d Ĵk /dt = T r( ρ Ĵk ). Then we can also introduce the normalization operations with respect to Ĵ(′) ) , and b = β, where β = β Re + β Im [30,[67][68][69][70][71][72][73][74].…”

Section: Posalmentioning

confidence: 99%

“…The necessary physical description on QPTs process with the average-field method A group of steady-state average-field equations for describing this dynamical QPTs process is written as[30,67,[69][70][71][72][73][74] 0 = iλ(β − β * )Z − γX, 0 = −λ(β + β * )Z − γY, 0 = λ(β + β * )Y − iλ(β − β * )X, 0 = −2κ ef f β − iλ(X − iY ) + i2χβ * (X ′ − iY ′ ), (24) 0 = iχ(β 2 − β * 2 )Z ′ − γX ′ , 0 = −χ(β 2 + β * 2 )Z ′ − γY ′ , 0 = χ(β 2 + β * 2 )Y ′ − iχ(β 2 − β * 2 )X ′ .In addition to the total spins' conservationX 2 +Y 2 +Z 2 = N 2 /4 and X ′2 +Y ′2 +Z ′2 = N 2 /4,we can get a group of effective equations0 = iλ(β − β * )Z − γX, 0 = −λ(β + β * )Z − γY, 0 = −2κ ef f β − iλ(X − iY ) + i2χβ * (X ′ − iY ′ ),(25) 0= iχ(β 2 − β * 2 )Z ′ − γX ′ , 0 = −χ(β 2 + β * 2 )Z ′ − γY ′ .…”

mentioning

confidence: 99%

First- and second-order gradient couplings to NV centers engineered by the geometric symmetry

Zhou¹,

Yang²,

Lv³

et al. 2022

Preprint

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The magnetic fields with the first-and second-order gradient are engineered in several mechanically controlled hybrid systems. The current-carrying nanowires with different geometries can induce a tunable magnetic field gradient because of their geometric symmetries, and therefore develop various couplings to nitrogen-vacancy (NV) centers. For instance, a straight nanowire can guarantee the Jaynes-Cummings (JC) spin-phonon interaction and may indicate a potential route towards the application on quantum measurement. Especially, two parallel straight nanowires can develop the coherent down-conversion spin-phonon interaction through a second-order gradient of the magnetic field, and it can induce a bundle emission of the antibunched phonon pairs via an entirely different magnetic mechanism. Maybe, this investigation is further believed to support NV's future applications in the area of quantum manipulation, quantum sensing, and precision measurement, etc.

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“… Dominated by both types of triple interactions, we can also carry out the task of engineering the MW photon and NV spin into the steady nonclassical state, utilizing different routes such as the adiabatic evolution or fast dissipation, etc [38,52,[57][58][59][60]. Taking Hamiltonian (11) as an example, we first assume G 1 is opposite to G 2 in phase and G 1 ≠ G 2 ; then, we can rewrite this Hamiltonian as…”

Section: Engineering Nv Spin and Mw Photon Into The Quantum Correlate...mentioning

confidence: 99%

Improvement on the manipulation of a single nitrogen-vacancy spin and microwave photon at single-quantum level

Zhou

Lü

Wang

et al. 2021

Commun. Theor. Phys.

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It remains a great challenge to realize direct manipulation of a nitrogen-vacancy (NV) spin at the single-quantum level with a microwave (MW) cavity. As an alternative, a hybrid system with the spin–phonon–photon triple interactions mediated by a squeezed cantilever-type harmonic resonator is proposed. According to the general mechanical parametric amplification of this in-between phonon mode, the direct spin–phonon and photon–phonon couplings are both exponentially enhanced, which can even further improve the coherent manipulation of a single NV spin and MW photon with a higher efficiency. In view of this triple system with enhanced couplings and the additional sideband adjustable designs, this scheme may provide a more efficient phonon-mediated platform to bridge or manipulate the MW quantum and a single electron spin coherently. It is also hoped to evoke wider applications in the areas of quantum state transfer and preparation, ultrasensitive detection and quantum nondestructive measurement, etc.

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Collective decay induce quantum phase transition in a well-controlled hybrid quantum system

Cited by 6 publications

References 72 publications

Symmetry breaking and competition effect in phase transitions

Symmetry breaking and competition effect in phase transitions

First- and second-order gradient couplings to NV centers engineered by the geometric symmetry

Improvement on the manipulation of a single nitrogen-vacancy spin and microwave photon at single-quantum level

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