Emergence of a negative resistance in noisy coupled linear oscillators

Quiroz-Juárez, Mario A.; Aragón, J. L.; León‐Montiel, Roberto de J.; Vázquez-Medina, Rubén; Domínguez-Juárez, Jorge Luis; Quintero-Torres, Rafael

doi:10.1209/0295-5075/116/50004

Cited by 12 publications

(12 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Additionally, two independent and synchronized clocks are needed as well, one to define the initial conditions and the second to define the demanded dynamic changes. The solution is possible with the help of electronically synthesized circuits, using an analog computer built from different configurations of operational amplifiers [53][54][55] .…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Observation of slowly decaying eigenmodes without exceptional points in Floquet dissipative synthetic circuits

et al. 2018

View full text Add to dashboard Cite

Passive parity-time symmetry breaking transitions, where long-lived eigenmodes emerge in a locally dissipative system, have been extensively studied in recent years. Conventional wisdom says that they occur at exceptional points. Here we report the observation of multiple transitions showing the emergence of slowly decaying eigenmodes in a dissipative, Floquet electronic system with synthetic components. Remarkably, in our system, the modes emerge without exceptional points. Our setup uses an electrical oscillator inductively coupled to a dissipative oscillator, where the time-periodic inductive coupling and resistive-heating losses are independently controlled. With a Floquet dissipation, slowly-decaying eigenmodes emerge at vanishingly small dissipation strength in the weak coupling limit. With a moderate Floquet coupling, multiple instances of their emergence and disappearance are observed. With an asymmetric dimer model, we show that these transitions, driven by avoided-levelcrossing in purely dissipative systems, are generically present in static and Floquet domains.

show abstract

Section: Methodsmentioning

confidence: 99%

“…(See Methods, Circuit design and parameters, and refs. 53,54 for details.) Our experimental setup is designed so that the synthetic inductance and capacitance in each oscillator are L = 1 mH and C = 0.1mF, respectively, leading to natural frequency of each oscillator ω 0 /2π = 503 s −1 .…”

Section: Is a Real Diagonal Matrix And |ϕ〉mentioning

confidence: 99%

Observation of slowly decaying eigenmodes without exceptional points in Floquet dissipative synthetic circuits

et al. 2018

View full text Add to dashboard Cite

show abstract

“…In recent years, electronic analogies have been successfully used to study key concepts and/or explore new focuses of complex quantum phenomena. In particular, they allowed for building experimental systems that offer certain implementation advantages-such as cost, complexity, and measuring protocols-over the original setups [51][52][53][54]. It is because of these features that electronic circuits have arisen as a powerful tool for exploring observables that obey the same mathematical description as those of the original quantum or classical systems.…”

Section: Dicke Model-lc Circuit Analogymentioning

confidence: 99%

Experimental realization of the classical Dicke model

Quiroz-Juárez

Chávez-Carlos

Aragón

et al. 2020

Phys. Rev. Research

View full text Add to dashboard Cite

We report the experimental implementation of the classical description of the Dicke model whose quantum version describes a large number of two-level atoms interacting with a single-mode electromagnetic field in a perfectly reflecting cavity. This is performed by employing two nonlinearly coupled active, synthetic LC circuits, implemented by means of analog electrical components. The simplicity and versatility of our platform allows us not only to experimentally explore the coexistence of regular and chaotic trajectories in the classical Dicke model, but also to directly observe the so-called ground-state and excited-state "quantum" phase transitions. In this analysis, the trajectories in phase space, Lyapunov exponents, and the finite-time Lyapunov exponent are used to identify the different operating regimes of our electronic device. Moreover, with this technology, we measure the classic analog of the fidelity-out-of-time-order-correlator (FOTOC). Exhaustive numerical simulations are performed to show the quantitative and qualitative agreement between theory and experiment.

show abstract

“…The energies of the sites are arbitrarily chosen to be ω 1 =ω 2 =ω 3 =5 ps −1 , whereas the coupling between them are set to κ 12 =1 ps −1 , and κ 13 =κ 23 =0.5 ps −1 . Figure 1 shows some examples of platforms where single-excitation stochastic networks have been successfully implemented, namely optical tweezers [25], waveguide arrays [24], superconducting circuits [26][27][28], and electrical-circuit arrays [29]. Quite recently, it has been shown that stochastic quantum networks can also be implemented in fascinating platforms, such as nuclear magnetic resonance systems [30], and ion traps [31,32].…”

Section: Single-particle Dynamicsmentioning

confidence: 99%

Two-particle quantum correlations in stochastically-coupled networks

et al. 2019

View full text Add to dashboard Cite

Quantum walks in dynamically-disordered networks have become an invaluable tool for understanding the physics of open quantum systems. Although much work has been carried out considering networks affected by diagonal disorder, it is of fundamental importance to study the effects of fluctuating couplings. This is particularly relevant in materials science models, where the interaction forces may change depending on the species of the atoms being linked. In this work, we make use of stochastic calculus to derive a master equation for the dynamics of one and two non-interacting correlated particles in tight-binding networks affected by off-diagonal dynamical disorder. We show that the presence of noise in the couplings of a quantum network creates a pure-dephasing-like process that destroys all coherences in the single-particle Hilbert subspace. Moreover, we show that when two or more correlated particles propagate in the network, coherences accounting for particle indistinguishability are robust against the impact of off-diagonal noise, thus showing that it is possible, in principle, to find specific conditions for which many indistinguishable particles can traverse stochastically-coupled networks without losing their ability to interfere.

show abstract

Emergence of a negative resistance in noisy coupled linear oscillators

Cited by 12 publications

References 27 publications

Observation of slowly decaying eigenmodes without exceptional points in Floquet dissipative synthetic circuits

Observation of slowly decaying eigenmodes without exceptional points in Floquet dissipative synthetic circuits

Experimental realization of the classical Dicke model

Two-particle quantum correlations in stochastically-coupled networks

Contact Info

Product

Resources

About