Level splitting in association with the multiphoton Bloch–Siegert shift

Hagelstein, Peter L.; Chaudhary, Irfan U.

doi:10.1088/0953-4075/41/3/035601

Cited by 8 publications

(19 citation statements)

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“…multi-state atom-cavity interaction [14] or excitation energy transfer in multi-chromophoric systems [15], continues to be a subject of significant interest, dictating a need for extensions of the two-state model. Extensions of the J-C model have been studied extensively [16][17][18][19], but are no longer applicable in the strong-coupling regime. Exciton-phonon generalizations which extend the parity/reflection symmetry of the Rabi system [20] are neither tractable nor applicable to atom-cavity systems.…”

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confidence: 99%

Quantum Rabi Model forN-State Atoms

Albert

2012

Phys. Rev. Lett.

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A tractable N -state Rabi Hamiltonian is introduced by extending the parity symmetry of the two-state model. The single-mode case provides a few-parameter description of a novel class of periodic systems, predicting that the ground state of certain four-state atom-cavity systems will undergo parity change at strong coupling. A group-theoretical treatment provides physical insight into dynamics and a modified rotating wave approximation obtains accurate analytical energies. The dissipative case can be applied to study excitation energy transfer in molecular rings or chains. Interactions between spin systems and harmonic oscillators (boson modes) have been studied for over 70 years [1][2][3]. One of the most well-known, the quantum Rabi model [1], is a phenomenological Hamiltonian describing interactions between a two-level system and a cavity mode. The model has also formed a basis of understanding for exciton-phonon interactions [4] and, along with its multi-mode extension, has numerous established applications in chemistry and physics (see [5][6][7] and refs. therein). The Jaynes-Cummings (J-C) [3] model is obtained by taking the Rabi model in the rotating wave approximation (RWA), where the "counter-rotating" terms are ignored (see e.g. [8]). While the J-C model is sufficient to study small atom-field coupling, the RWA breaks down at large coupling [9,10] Many-site spin-boson interaction, e.g. multi-state atom-cavity interaction [14] or excitation energy transfer in multi-chromophoric systems [15], continues to be a subject of significant interest, dictating a need for extensions of the two-state model. Extensions of the J-C model have been studied extensively [16][17][18][19], but are no longer applicable in the strong-coupling regime. Exciton-phonon generalizations which extend the parity/reflection symmetry of the Rabi system [20] are neither tractable nor applicable to atom-cavity systems. Most importantly, the Rabi model is the single-mode version of a dissipative (infinite-mode) spin-boson model [21], signifying that light-matter interaction is a simplified manifestation of a more fundamental interaction between a two-state system and a dissipative environment. Previous dissipative [22][23][24][25] generalizations have neither extended the symmetry nor preserved this correspondence. Motivated by these properties, this Letter presents a symmetry-preserving N -state extension of the Rabi model. The extension includes counter-rotating terms in a rigorous, intuitive, and mathematically manageable way, using a minimal number of parameters and paving the way for applications to multi-level atom-cavity experiments at both weak and strong coupling. A grouptheoretical approach [2] provides numerical advantages and physical insight into dynamics of the single-mode case. The symmetric generalized RWA [7] is applied to obtain accurate analytical energies/eigenstates valid for strong coupling. The above procedures are significantly simplified via the generalized spin matrices [26], providing a new tool for the treat...

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confidence: 99%

Quantum Rabi Model forN-State Atoms

Albert

2012

Phys. Rev. Lett.

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“…As in our previous work on the spin-boson problem [7,16], we find it useful to consider a unitary equivalent Hamiltonian…”

Section: Unitary Transformationmentioning

confidence: 98%

Excitation transfer in two two-level systems coupled to an oscillator

Hagelstein¹,

Chaudhary²

2008

J. Phys. B: At. Mol. Opt. Phys.

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“…Coherent energy exchange is predicted in the spinboson model under conditions where the (dressed) transition energy is an odd multiple of the characteristic energy of the oscillator " hx 0 [46,52]. This effect is weak; it requires a highly-excited oscillator, strongcoupling, and a mathematically precise resonance.…”

Section: Weak Fractionation In the Spin-boson Modelmentioning

confidence: 98%

“…It is possible to make use of a unitary transformation (of the form of a Foldy-Wouthusyen transformation) that removes the strong first-order coupling between the two different degrees of freedom; an example of this is given in [46] in the case of one twolevel system, but a trivial generalization works in the case of many identical two-level systems. After the rotation, there is a small second-order residual coupling; this can be used to analyze coherent energy exchange in the multi-photon regime of the model with excellent results.…”

Section: Transformation For the Spin-boson Modelmentioning

confidence: 99%

Anomalies in fracture experiments, and energy exchange between vibrations and nuclei

Hagelstein

Chaudhary

2014

Meccanica

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A variety of anomalies have been reported in recent years in fracture experiments, including neutron emission, elemental anomalies, and alpha emission. Such anomalies are similar to those studied in condensed matter nuclear science, which has been of interest to us in the development of theoretical models. In this work a brief review of the new theoretical approach is given, along with connections to both anomalies in fracture experiments and anomalies in other experiments. The fracture anomalies in this picture arise naturally as a result of the relevativistic interaction between vibrations and internal nuclear degrees of freedom, and up-conversion of vibrational quanta. A major conclusion of this work is that the elemental anomalies cannot be accounted for by disintegration as an incoherent process; since the observed products show a high degree of selectivity, while disintegration is very much non-selective. The possibility of disintegration as a coherent quantum process is introduced, and a suggestions for new experiments and measurements are put forth that can help to clarify underlying mechanisms.

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Level splitting in association with the multiphoton Bloch–Siegert shift

Cited by 8 publications

References 8 publications

Quantum Rabi Model forN-State Atoms

Quantum Rabi Model forN-State Atoms

Excitation transfer in two two-level systems coupled to an oscillator

Anomalies in fracture experiments, and energy exchange between vibrations and nuclei

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