Fractional resonances and prethermal states in Floquet systems

Peña, Rubén; Bastidas, V. M.; Torres, Felipe Torres; Munro, William J.; Romero, G.

doi:10.1103/physrevb.106.064307

Cited by 5 publications

(11 citation statements)

References 75 publications

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“…One can steer the system's dynamics in many physical situations to introduce and explore some natural responses of the system. In particular, time-dependent sinusoidal fields are very useful in electron spin resonance experiments [28], Floquet engineering [29], and also in recent theoretical studies of DQPT [8]. In this direction, we can add a time-dependent driving field to solve a more subtle question.…”

Section: Effect Of Time-dependent Hamiltoniansmentioning

confidence: 99%

Quantum kernels for classifying dynamical singularities in a multiqubit system

Tancara,

Fredes,

Norambuena

2024

Quantum Sci. Technol.

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Dynamical quantum phase transition is a critical phenomenon involving out-of-equilibrium states and broken symmetries without classical analogy. However, when finite-sized systems are analyzed, dynamical singularities of the rate function can appear, leading to a challenging physical characterization when parameters are changed. Here, we report a quantum support vector machine (QSVM) algorithm that uses quantum Kernels to classify dynamical singularities of the rate function for a multiqubit system. We illustrate our approach using $N$ long-range interacting qubits subjected to an arbitrary magnetic field, which induces a quench dynamics. Inspired by physical arguments, we introduce two different quantum Kernels, one inspired by the ground state manifold and the other based on a single state tomography. Our accuracy and adaptability results show that this quantum dynamical critical problem can be efficiently solved using physically inspiring quantum Kernels. Moreover, we extend our results for the case of time-dependent fields, quantum master equation, and when we increase the number of qubits

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Section: Effect Of Time-dependent Hamiltoniansmentioning

confidence: 99%

Quantum kernels for classifying dynamical singularities in a multiqubit system

Tancara,

Fredes,

Norambuena

2024

Quantum Sci. Technol.

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“…However, we will consider integer and fractional driving frequencies in the unit of U defined as Ω = U and Ω = U/2, respectively. In both cases, it can be shown that H I (t + T) = H I (t) is periodic with period T = 2π/Ω [38]. Moreover, we consider the strongly interacting regime, where U J 0 [3], where J 0 is the bare (static) hopping rate.…”

Section: The Modelmentioning

confidence: 99%

“…This regime allows us to describe the particle/excitation hopping processes within the semi-classical picture as discussed in Refs. [29,38].…”

Section: The Modelmentioning

confidence: 99%

“…The search for nonequilibrium states of matter is challenging because one needs to move beyond standard quantum statistical mechanics [30][31][32][33][34], and simulations of quantum many-body systems in classical computers [35][36][37]. In a recent contribution by some of the authors [38], it has been pointed out the emergence of a prethermal and localized nonequilibrium phase, termed "fractional resonance", appearing in a broad class of many-body Hamiltonians exhibiting U (1) and parity symmetry such as the Bose-Hubbard model [39,40], the XXZ spin-1 model [41,42] or the Jaynes-Cummings-Hubbard model [43][44][45]. Moreover, small-scale versions of these models can be experimentally implemented in NISQ devices.…”

Section: Introductionmentioning

confidence: 99%

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Stable Many-Body Resonances in Open Quantum Systems

Peña

Kyaw²,

Romero

2022

Symmetry

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Periodically driven quantum many-body systems exhibit novel nonequilibrium states, such as prethermalization, discrete time crystals, and many-body localization. Recently, the general mechanism of fractional resonances has been proposed that leads to slowing the many-body dynamics in systems with both U(1) and parity symmetry. Here, we show that fractional resonance is stable under local noise models. To corroborate our finding, we numerically study the dynamics of a small-scale Bose–Hubbard model that can readily be implemented in existing noisy intermediate-scale quantum (NISQ) devices. Our findings suggest a possible pathway toward a stable nonequilibrium state of matter, with potential applications of quantum memories for quantum information processing.

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“…In many-body systems the periodic driving will eventually cause the system to heat up to infinite temperature [21][22][23]. It has been shown, however, that a generic system will first pass through a long-lived 'pre-thermal' regime, in which the rate of heating is exponentially small in the driving frequency [24][25][26][27][28]. For high-frequency driving it is thus possible to manipulate the properties of a system using Floquet engineering while it remains in this prethermal state.…”

Section: Introductionmentioning

confidence: 99%

Spectral statistics of driven Bose-Hubbard models

Mateos,

Sols,

Creffield

2024

J. Stat. Mech.

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We study the spectral statistics of a one-dimensional Bose–Hubbard model subjected to kinetic driving; a form of Floquet engineering where the kinetic energy is periodically driven in time with a zero time-average. As the amplitude of the driving is increased, the ground state of the resulting flat-band system passes from the Mott insulator regime to an exotic superfluid. We show that this transition is accompanied by a change in the system’s spectral statistics from Poisson to GOE-type. Remarkably, and unlike in the conventional Bose–Hubbard model which we use as a benchmark, the details of the GOE statistics are sensitive to the parity of both the particle number and the lattice sites. We show how this effect arises from a hidden symmetry of the Hamiltonian produced by this form of Floquet driving.

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Fractional resonances and prethermal states in Floquet systems

Cited by 5 publications

References 75 publications

Quantum kernels for classifying dynamical singularities in a multiqubit system

Quantum kernels for classifying dynamical singularities in a multiqubit system

Stable Many-Body Resonances in Open Quantum Systems

Spectral statistics of driven Bose-Hubbard models

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