Non-Hermitian spectrum and multistability in exciton-polariton condensates

Yu, Z. X.; Xue, Ju-Kui; Zhuang, Lin; Zhao, Jinkui; Liu, Wu-Ming

doi:10.1103/physrevb.104.235408

Cited by 13 publications

(7 citation statements)

References 66 publications

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“…We consider an exciton-polariton BEC under nonresonant pumping, created in a wire-shaped microcavity [34] that bounds the polaritons to a quasi-onedimensional (1D) channel. In the mean field theory, the time evolution of the polariton field, described by the condensate order parameter ψ(x, t), is governed by an effectively 1D driven-dissipative GPE, coupled to a rate equation for the density n R (x, t) of reservoir polaritons [23,[35][36][37][38],…”

Section: The Theoretical Model and Lagrangian Approachmentioning

confidence: 99%

Interaction between an impurity and nonlinear excitations in a polariton condensate

Cui¹,

Liang²

2022

Preprint

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An important challenge in exploring the dynamics of a mobile impurity immersed in the field excitations comes from the necessity to include the entanglement between the impurity and the surrounding excitations. To address this challenge, the impurity's effective mass has to be assumed as finite, rather than infinite. Here we theoretically investigate how a finite-mass impurity interacts with a nonlinear excitation (i.e., soliton) in the polariton Bose-Einstein condensate (BEC), which is intrinsically non-equilibrium. Using the Lagrange variational method and the open-dissipative Gross-Pitaevskii equation, we analytically derive the interaction phase diagram between a bright soliton and an impurity in a polariton BEC. We show that when the soliton collide with the impurity, it can transmit through, be trapped, or reflected. Our work goes beyond prior researches in the context of equilibrium systems, and opens a new perspective toward understanding the nonequilibrium dynamics of a mobile impurity immersed in the nonliear field excitations.

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Section: The Theoretical Model and Lagrangian Approachmentioning

confidence: 99%

Interaction between an impurity and nonlinear excitations in a polariton condensate

Cui¹,

Liang²

2022

Preprint

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“…We consider an exciton–polariton BEC under nonresonant pumping, which is created in a wire-shaped microcavity [ 38 ] that bounds the polaritons to a quasi-one-dimensional (1D) channel. In the mean field theory, the time evolution of the polariton field is governed by an effectively 1D driven-dissipative GPE for the condensate order parameter

, which is coupled to a rate equation for the density

of reservoir polaritons [ 25 , 39 , 40 , 41 , 42 ], i.e.,

In Equations ( 1 ) and (2), the m is the effective mass of lower polaritons, P is the off-resonant continuous-wave pumping rate,

and

denote the lifetimes of the condensate and reservoir polaritons, respectively, R is the stimulated scattering rate of reservoir polaritons into the condensate,

characterizes the strengths of the polariton interaction, while

denotes the interaction strength between the reservoir and the polaritons. The impurity potential [ 39 , 43 ] is

, with the strength

.…”

Section: The Theoretical Model and Lagrangian Approachmentioning

confidence: 99%

Interaction between an Impurity and Nonlinear Excitations in a Polariton Condensate

Chun-yu

Liang

2022

Entropy

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Exploring the dynamics of a mobile impurity immersed in field excitations is challenging, as it requires to account for the entanglement between the impurity and the surrounding excitations. To this end, the impurity’s effective mass has to be considered as finite, rather than infinite. Here, we theoretically investigate the interaction between a finite-mass impurity and a dissipative soliton representing nonlinear excitations in the polariton Bose–Einstein condensate (BEC). Using the Lagrange variational method and the open-dissipative Gross–Pitaevskii equation, we analytically derive the interaction phase diagram between the impurity and a dissipative bright soliton in the polariton BEC. Depending on the impurity mass, we find the dissipative soliton colliding with the impurity can transmit through, get trapped, or be reflected. This work opens a new perspective in understanding the impurity dynamics when immersed in field excitations, as well as potential applications in information processing with polariton solitons.

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“…Such intrinsic spontaneous PT -symmetry breaking occurs at the exceptional points (EP), at which both the eigenstates and eigenvalues coalesce [8][9][10][11][12][13][14][15][16]. The existence of EP leads to rich physics, such as the enhancement of precision in quantum sensors [17], the topological phase transition [18][19][20][21][22], the nonadiabatic transition [23,24], and the unidirectional propagation of light [25], just to name a few. Theoretical advances have enabled exponential realizations of PT symmetric systems in various fields, such as optical settings [26][27][28][29][30][31][32][33][34][35][36][37], electronic circuits [38], and optomechanical systems [39].…”

Section: Introductionmentioning

confidence: 99%

Scaling laws of the out-of-time-order correlators at the transition to the spontaneous $\cal{PT}$-symmetry breaking in a Floquet system

Zhao¹,

Wang²,

Han³

et al. 2023

Preprint

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We investigate both numerically and analytically the dynamics of out-of-time-order correlators (OTOCs) in a non-Hermitian kicked rotor model, addressing the scaling laws of the time dependence of OTOCs at the transition to the spontaneous PT symmetry breaking. In the unbroken phase of PT symmetry, the OTOCs increase monotonically and eventually saturate with time, demonstrating the freezing of information scrambling. Just beyond the phase transition points, the OTOCs increase in the power-laws of time, with the exponent larger than two. Interestingly, the quadratic growth of OTOCs with time emerges when the system is far beyond the phase transition points. Above numerical findings have been validated by our theoretical analysis, which provides a general framework with important implications for Floquet engineering and the information scrambling in chaotic systems.

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Non-Hermitian spectrum and multistability in exciton-polariton condensates

Cited by 13 publications

References 66 publications

Interaction between an impurity and nonlinear excitations in a polariton condensate

Interaction between an impurity and nonlinear excitations in a polariton condensate

Interaction between an Impurity and Nonlinear Excitations in a Polariton Condensate

Scaling laws of the out-of-time-order correlators at the transition to the spontaneous $\cal{PT}$-symmetry breaking in a Floquet system

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