Adiabatic elimination in strong-field light-matter coupling

Kaufman, Brian; Rozgonyi, Tamás; Marquetand, Philipp; Weinacht, Thomas

doi:10.1103/physreva.102.063117

Cited by 16 publications

(6 citation statements)

References 19 publications

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“…Despite the fact that this method has been used to investigate the effective dynamics in squeezed-lightenhanced atom interferometry [18], adiabatic elimination for strong field light matter coupling [19], third-order diffraction in Raman scattering [20], etc., it does not include the cavity modes. In this approach, they have worked in interaction picture and to make the Hamiltonian time independent, a suitable transformation has been utilized, which will be difficult to obtain when the cavity interactions are present.…”

Section: Iic Integro-differential Equation Approach Of Paulisch Et Almentioning

confidence: 99%

Adiabatic elimination in the presence of multiphoton transitions in atoms inside a cavity

Maity¹

2023

Preprint

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Various approaches have been used in the literature for eliminating nonresonant levels in atomic systems and deriving effective Hamiltonians. Important among these are elimination techniques at the level of probability amplitudes, operator techniques to project the dynamics on to the subspace of resonant levels, Green's function techniques, the James' effective Hamiltonian approach, etc. None of the previous approaches is suitable for deriving effective Hamiltonians in intracavity situations. However, the James' approach does work in the case of only two-photon transitions in a cavity. A generalization of the James' approach works in the case of three-photon transitions in a cavity, but only under Raman-like resonant conditions. Another important approach for adiabatic elimination is based on an adaptation of the Markov approximation wellknown in the theory of system-bath interactions. However, this approach has not been shown to work in intracavity situations. In this paper, we present a method of adiabatic elimination for atoms inside cavities in the presence of multiphoton transitions. We work in the Heisenberg picture, and our approach has the advantage that it allows one to derive effective Hamiltonians even when Raman-like resonance conditions do not hold.

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Section: Iic Integro-differential Equation Approach Of Paulisch Et Almentioning

confidence: 99%

Adiabatic elimination in the presence of multiphoton transitions in atoms inside a cavity

Maity¹

2023

Preprint

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“…The uniform bias magnetic field excites the Kittel mode in the YIG spheres and establishes a strong photon-magnon coupling. At the large detuning regime, the common photon mode can be adiabatically eliminated with the standard perturbation theory [42][43][44] or the high-order Fermi golden rule [45]. By periodically modulating over the three magnon modes with wellcontrolled intensities, frequencies, and phases, we can obtain an effective time-reversal symmetry broken Hamiltonian [46], that ensures chiral magnon currents [38] of arbitrary states within a state-independent period.…”

Section: Introductionmentioning

confidence: 99%

Chiral current in Floquet cavity-magnonics

Qi,

Jing

2022

Preprint

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Floquet engineering could induce complex collective behaviour and interesting synthetic gaugefield in quantum many-body systems through temporal modulation of system parameters by periodic drives. Using a Floquet drive on frequencies of the magnon modes, we realize a chiral state-transfer in a hybrid photon-magnon system. The time-reversal symmetry is broken in such a promising platform for coherent information processing. The cavity-photon mode is adiabatically eliminated in the large-detuning regime and the magnon modes under conditional longitudinal drives can be indirectly coupled to each other with a phase-modulated interaction. The effective Hamiltonian is then used to generate chiral currents in a circular loop, whose dynamics is evaluated to measure the symmetry of the system Hamiltonian. Beyond the dynamics in the manifold with a limited number of excitations, our protocol applies to the continuous-variable systems with arbitrary initial states. In addition, it is found to be robust against the systematic errors in the photon-magnon coupling strength and Kerr nonlinearity.

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“…In situations in which strongly off-resonant "virtual" states mediate interactions between quasiresonant "real" states, an adiabatic elimination over the fast degrees of freedom-the virtual ones-allows one to reduce the dimensionality of the problem and obtain an effective description of the slow degrees of freedom, i.e., the real states. This technique of adiabatic elimination, which can be formulated in several alternative ways-e.g., the Schrieffer-Wolff transformation [2]-is ubiquitous in the description and design of quantum phenomena, e.g., quantum optical applications in atomic physics [5][6][7][8][9][10][11][12][13][14][15] or exotic dynamics in the ultrastrong coupling regime of cavity QED [16][17][18]. A significant effort has been made to establish the mathematical foundations of this technique [19][20][21] and its extension to dissipative contexts for its application in open quantum systems [22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

Unconventional mechanism of virtual-state population through dissipation

2022

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Virtual states are a central concept in quantum mechanics. By definition, the probability of finding a quantum system in a virtual state should be vanishingly small at all times. In contrast to this notion, we report a phenomenon occurring in open quantum systems by which virtual states can acquire a sizable population in the long-time limit, even if they are not directly coupled to any dissipative channel. This means that the situation in which the virtual state remains unpopulated can be metastable. We describe this effect by introducing a two-step adiabatic elimination method, which we termed hierarchical adiabatic elimination, that allows one to obtain analytical expressions of the timescale of metastability in general open quantum systems. We show how these results can be relevant for practical questions such as the generation of stable and metastable entangled states in dissipative systems of interacting qubits.

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Adiabatic elimination in strong-field light-matter coupling

Cited by 16 publications

References 19 publications

Adiabatic elimination in the presence of multiphoton transitions in atoms inside a cavity

Adiabatic elimination in the presence of multiphoton transitions in atoms inside a cavity

Chiral current in Floquet cavity-magnonics

Unconventional mechanism of virtual-state population through dissipation

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