Quantum dynamics of dissipative Kerr solitons

Seibold, Kilian; Rota, Riccardo; Minganti, Fabrizio; Savona, Vincenzo

doi:10.1103/physreva.105.053530

Cited by 6 publications

(3 citation statements)

References 109 publications

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“…Under these conditions, the externally driven NLSE may be obtained by averaging the previous infinite-dimensional map [18] ( ) [18,24,25].  E (t,τ ) denotes the intracavity field, the roundtrip duration is t r (t r =L/C), and the slow time scale for this profile's progression over consecutive roundtrips is denoted by t. Additionally, it is presumed that the field will follow the cavity roundtrip time, E(t + 2,τ) = E(t,τ), and it determines the field's temporal profile in ordinary (fast) time [19]. The following are the meanings of the other variables in the formula: β represents the dispersion coefficient of second order, α = (α i + )/2 denotes the total cavity losses, and δ 0 = 2kπ − φ 0 ≪1 indicates the order of the cavity resonance that is closest to the driving field when the cavity is detuning from the nearest resonance.…”

Section: Theorymentioning

confidence: 99%

The Effect of Input Pulse on the Soliton Generation in Microresonators

Alhassen,

H. A. Sultan

2024

UTJsci

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The effect of the input pulse (chirped pulse) on the generation of soliton wave and optical frequency comb in microresonators was studied. The problem was solved numerically using the Lugiato-Lefever equation and the Fourier method by MATLAB program. The effect of Gaussian and ultra-Gaussian pulses, as well as chirped pulses, on the generation of the soliton wave and the frequency comb was also studied. Our study demonstrated that the generation of the soliton and the frequency comb depends on the shape of the pulse intensity distribution. Moreover, the mobility of the soliton and comb changes depending on the shape of the pulse. In addition, the results showed us that the soliton and frequency comb generated in microresonators are strongly affected by the power of the incoming pulse and the radius of the microresonator.

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Section: Theorymentioning

confidence: 99%

The Effect of Input Pulse on the Soliton Generation in Microresonators

Alhassen,

H. A. Sultan

2024

UTJsci

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“…In this article, our focus centers on experimentally feasible nonlinear parametric oscillators capable of exhibiting complexity, especially in the realm of limit cycles akin to those recently investigated in [44][45][46]. The physical system is a dissipative multi-mode cavity as depicted in figure 1, which is driven on one mode and coupled to others through cross-Kerr nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Noise-resilient phase transitions and limit-cycles in coupled Kerr oscillators

Alaeian,

Soriente,

Najafi

et al. 2024

New J. Phys.

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n recent years, there has been considerable focus on exploring driven-dissipative quantum systems, as they exhibit distinctive dissipation-stabilized phases. Among them, dissipative time crystal isa unique phase emerging as a shift from disorder or stationary states to periodic behaviors. However,understanding the resilience of these non-equilibrium phases against quantum fluctuations remainsunclear. This study addresses this query within a canonical parametric quantum optical system,specifically, a multi-mode cavity with self- and cross-Kerr non-linearity. Using mean-field theory weobtain the phase diagram and delimit the parameter ranges that stabilize a non-stationary limit-cycle phase. Leveraging the Keldysh formalism, we study the unique spectral features of each phase.Further, we extend our analyses beyond the mean-field theory by explicitly accounting for higher-order correlations through cumulant expansions. Our findings unveil insights into the modificationsof the open quantum systems phases, underscoring the significance of quantum correlations in non-equilibrium steady states. Importantly, our results conclusively demonstrate the resilience of thenon-stationary phase against quantum fluctuations, rendering it a dissipation-induced genuinequantum synchronous phase.

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“…There are two recently introduced concepts, dissipative time crystals [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46] , which are systems that have persistent oscillations induced by the dissipation, and boundary time crystals [47][48][49][50][51] , which have persistent oscillations in the thermodynamic limit, only (cf. discrete, driven versions of time crystals under dissipation [52][53][54][55][56][57][58] and other non-stationary phenomena beyond observables [59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74] ).…”

mentioning

confidence: 99%

Exact multistability and dissipative time crystals in interacting fermionic lattices

Alaeian

Buča

2022

Commun Phys

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The existence of multistability in quantum systems beyond the mean-field approximation remains an intensely debated open question. Quantum fluctuations are finite-size corrections to the mean-field as the full exact solution is unobtainable and they usually destroy the multistability present on the mean-field level. Here, by identifying and using exact modulated dynamical symmetries in a driven-dissipative fermionic chain we exactly prove multistability in the presence of quantum fluctuations. Further, unlike common cases in our model, rather than destroying multistability, the quantum fluctuations themselves exhibit multistability, which is absent on the mean-field level for our systems. Moreover, the studied model acquires additional thermodynamic dynamical symmetries that imply persistent periodic oscillations, constituting the first case of a boundary time crystal,to the best of our knowledge, a genuine extended many-body quantum system with the previous cases being only in emergent single- or few-body models. The model can be made into a dissipative time crystal in the limit of large dissipation (i.e. the persistent oscillations are stabilized by the dissipation) making it both a boundary and dissipative time crystal.

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Quantum dynamics of dissipative Kerr solitons

Cited by 6 publications

References 109 publications

The Effect of Input Pulse on the Soliton Generation in Microresonators

The Effect of Input Pulse on the Soliton Generation in Microresonators

Noise-resilient phase transitions and limit-cycles in coupled Kerr oscillators

Exact multistability and dissipative time crystals in interacting fermionic lattices

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