Multiphoton Resonance Band and Bloch–Siegert Shift in a Bichromatically Driven Qubit

Yan, Yiying; Lü, Zhiguo; Chen, Lipeng; Zheng, Hang

doi:10.1002/qute.202200191

Cited by 7 publications

(2 citation statements)

References 44 publications

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“…The most fundamental models of light‐matter interactions are the quantum Rabi model (QRM) [ 39–41 ] and the Jaynes–Cummings model (JCM), [ 42,43 ] they are also fundamental building blocks for quantum information and quantum computation. [ 5,44–47 ] Theoretically the milestone work [ 1 ] revealing the integrability of the QRM has induced a massive dialogue [ 1–6,20–31,33–38,40,43,48–95 ] between mathematics and physics in light‐matter interactions. [ 2 ] An intriguing phenomenon in such few‐body systems is the existence [ 4,20–31,33 ] of a quantum phase transition (QPT) [ 96 ] which traditionally lies in condensed matter, despite that it might be a matter of taste to term the transition quantum or not by considering the negligible quantum fluctuations in the photon vacuum state.…”

Section: Introductionmentioning

confidence: 99%

Robust Topological Feature against Non‐Hermiticity in Jaynes–Cummings Model

Ying

2024

Adv Quantum Tech

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The Jaynes–Cummings Model (JCM) is a fundamental model and building block for light‐matter interactions, quantum information and quantum computation. The present work analytically analyzes the topological feature manifested by the JCM in the presence of non‐Hermiticity which may arise from dissipation and decay rates. Indeed, the eigenstates of the JCM are topologically characterized by spin windings in 2D plane. The non‐Hermiticity tilts the spin‐winding plane and induces an out‐of‐plane component, while the topological feature is maintained. In particular, besides the invariant spin texture nodes, the study reveals a non‐Hermiticity‐induced reversal transition of the tilting angle and spin winding direction with a fractional phase gain at gap closing, a partially level‐independent reversal transition without gap closing, and a completely level‐independent super‐invariant point with untilted angle and also without gap closing. The result demonstrates that the topological feature is robust against non‐Hermiticity, which may be favorable in practical applications. On the other hand, one may conversely make use of the disadvantageous dissipation and decay rates to reverse the spin winding direction, which may add a controlled way for topological manipulation of quantum systems in light‐matter interactions.

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Section: Introductionmentioning

confidence: 99%

Robust Topological Feature against Non‐Hermiticity in Jaynes–Cummings Model

Ying

2024

Adv Quantum Tech

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“…The topological features associated to an incommensurate multiple driving were theoretically explored by Refs. 34 , 36 . In Ref.…”

Section: Introductionmentioning

confidence: 99%

Floquet space exploration for the dual-dressing of a qubit

Fregosi,

Marinelli,

Gabbanini

et al. 2023

Sci Rep

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The application of a periodic nonresonant drive to a system allows the Floquet engineering of effective fields described by a broad class of quantum simulated Hamiltonians. The Floquet evolution is based on two different elements. The first one is a time-independent or stroboscopic evolution with an effective Hamiltonian corresponding to the quantum simulation target. The second element is the time evolution at the frequencies of the nonresonant driving and of its harmonics, denoted as micromotion. We examine experimentally and theoretically the harmonic dual-dressing Floquet engineering of a cold atomic two-level sample. Our focus is the dressing operation with small bare energies and large Rabi frequencies, where frequencies and amplitudes of the stroboscopic/micromotion time evolutions are comparable. At the kHz range of our dressed atom oscillations, we probe directly both the stroboscopic and micromotion components of the qubit global time evolution. We develop ad-hoc monitoring tools of the Floquet space evolution. The direct record of the time evolution following a pulsed excitation demonstrates the interplay between the two components of the spin precession in the Floquet space. From the resonant pumping of the dressed system at its evolution frequencies, Floquet eigenenergy spectra up to the fifth order harmonic of the dressing frequency are precisely measured as function of dressing parameters. Dirac points of the Floquet eigenenergies are identified and, correspondingly, a jump in the dynamical phase shift is measured. The stroboscopic Hamiltonian eigenfrequencies are measured also from the probe of the micromotion sidebands.These monitoring tools are appropriate for quantum simulation/computation investigations. Our results evidence that the stroboscopic phase shift of the qubit wavefunction contains an additional information that opens new simulation directions.

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Universal Quantum Fisher Information and Simultaneous Occurrence of Landau‐Class and Topological‐Class Transitions in Non‐Hermitian Jaynes‐Cummings Models

Ying

2024

Adv Quantum Tech

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Light‐matter interactions provide an ideal testground for interplay of critical phenomena, topological transitions, quantum metrology, and non‐Hermitian physics with high controllability and tunability. The present work considers two fundamental non‐Hermitian Jaynes‐Cummings models in light‐matter interactions that possess real energy spectra in parity‐time (PT) symmetry and anti‐PT symmetry. The quantum Fisher information is shown to be critical around the transitions at the exceptional points and exhibit a super universality, with respect to different parameters, all energy levels, both models, symmetric phases, and symmetry‐broken phases, which guarantees a universally high measurement precision in quantum metrology. In particular, the transitions are found to be both symmetry‐breaking Landau‐class transitions (LCTs) and symmetry‐protected topological‐class transitions (TCTs), thus realizing a simultaneous occurrence of critical LCTs and TCTs that are conventionally incompatible due to contrary symmetry requirements. Besides establishing a paradigmatic case to break the incompatibility of the LCTs and the TCTs in non‐Hermitian systems, the both availabilities of the sensitive critical feature and the robust topological feature can also provide more potential for designing quantum devices or sensors.

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Multiphoton Resonance Band and Bloch–Siegert Shift in a Bichromatically Driven Qubit

Cited by 7 publications

References 44 publications

Robust Topological Feature against Non‐Hermiticity in Jaynes–Cummings Model

Robust Topological Feature against Non‐Hermiticity in Jaynes–Cummings Model

Floquet space exploration for the dual-dressing of a qubit

Universal Quantum Fisher Information and Simultaneous Occurrence of Landau‐Class and Topological‐Class Transitions in Non‐Hermitian Jaynes‐Cummings Models

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