Coherent Transients

Eberly, J. H.; Stroud, C. R.

doi:10.1007/978-0-387-26308-3_73

Cited by 3 publications

(5 citation statements)

References 7 publications

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“…This differs from the conventional picture of fermion spin as a vector of length √ 3 /2 with uncertain components except in the measured direction. The interpretation suggested by APS is instead that of the a traditional spin-density operator formulation [13,14] or the description by Levitt [44]. The uncertainty relations for the spin arise here from the measurement process, and the supposed length of √ 3 /2 arises from the square root of e 2 1 + e 2 2 + e 2 3 and the (mis)-identification of the basis vectors with spin component operators.…”

Section: Discussionmentioning

confidence: 99%

“…States of a spin-1/2 system are commonly represented by points on the surface of the Bloch sphere if they are pure and inside the sphere if they are mixed. [3,13,14] Analogously, light polarization is represented by points on or inside the Poincaré sphere. [15] The three-dimensional space of these spheres is often viewed as abstract with only indirect connections to physical space, but in spin-1/2 systems, the direction of the Bloch vector is the same as the polarization vector in physical space.…”

Section: Introductionmentioning

confidence: 99%

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Quantum/Classical Interface: Classical Geometric Origin of Fermion Spin

Baylis

Cabrera

Keselica

2010

Adv. Appl. Clifford Algebras

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Although intrinsic spin is usually viewed as a purely quantum property with no classical analog, we present evidence that fermion spin has a classical origin rooted in the geometry of three-dimensional physical space. Our approach to the quantum/classical interface is based on a formulation of relativistic classical mechanics that uses spinors. Spinors and projectors arise naturally in the Clifford's geometric algebra of physical space and not only provide powerful tools in classical electrodynamics, but also reproduce a number of quantum results. We show in particular that many properties of elementary fermions, as spin-1/2 particles, are obtained classically and relate spin, the associated g-factor, its coupling to an external magnetic field, Zitterbewegung, and de Broglie waves. Spinors are also amplitudes that can undergo quantum-like interference. The relationship of spin and geometry is further strengthened by the fact that physical space and its geometric algebra can be derived from fermion annihilation and creation operators. The approach is important because of the insights it provides about spin and quantum phenomena more generally. Mathematics Subject Classification (2000). 15A66, 81P15, 81R25, 83A05.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantum/Classical Interface: Classical Geometric Origin of Fermion Spin

Baylis

Cabrera

Keselica

2010

Adv. Appl. Clifford Algebras

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“…Semi-classical electron wave packets in hydrogenlike atoms were first generated in 1988 by ultrashort laser pulses, and today are often generated by unipolar terahertz pulses [126][127] [128]. Over the last few decades there has been interest in the classical limit of the hydrogenlike atom for n very large, Rydberg states, for a number of reasons [129]: 1. Rydberg states are at the border between bound states and the continuum, and any process which leads to excited bound states, ions or free electrons usually leads to the production of Rydberg states.…”

Section: Rydberg Atomsmentioning

confidence: 99%

“…The spread arises because the component wave functions forming the wavepacket have different momenta. In two derivations, still longer times were considered, and recoherence was predicted to occur after about n/3 (where n is the approximate principal quantum number) revolutions, although there is some difference in the predicted amount of recoherence [129] [134]. Because of the conservation of L and A the spread of the wave packets is inhibited except in the azimuthal direction.…”

Section: Rydberg Atomsmentioning

confidence: 99%

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Dynamical Symmetries of the H Atom, One of the Most Important Tools of Modern Physics: SO(4) to SO(4,2), Background, Theory, and Use in Calculating Radiative Shifts

Maclay

2020

Symmetry

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Understanding the hydrogen atom has been at the heart of modern physics. Exploring the symmetry of the most fundamental two body system has led to advances in atomic physics, quantum mechanics, quantum electrodynamics, and elementary particle physics. In this pedagogic review, we present an integrated treatment of the symmetries of the Schrodinger hydrogen atom, including the classical atom, the SO(4) degeneracy group, the non-invariance group or spectrum generating group SO(4,1), and the expanded group SO(4,2). After giving a brief history of these discoveries, most of which took place from 1935–1975, we focus on the physics of the hydrogen atom, providing a background discussion of the symmetries, providing explicit expressions for all of the manifestly Hermitian generators in terms of position and momenta operators in a Cartesian space, explaining the action of the generators on the basis states, and giving a unified treatment of the bound and continuum states in terms of eigenfunctions that have the same quantum numbers as the ordinary bound states. We present some new results from SO(4,2) group theory that are useful in a practical application, the computation of the first order Lamb shift in the hydrogen atom. By using SO(4,2) methods, we are able to obtain a generating function for the radiative shift for all levels. Students, non-experts, and the new generation of scientists may find the clearer, integrated presentation of the symmetries of the hydrogen atom helpful and illuminating. Experts will find new perspectives, even some surprises.

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Optical spin-state polarization in a binuclear europium complex towards molecule-based coherent light-spin interfaces

et al. 2021

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The success of the emerging field of solid-state optical quantum information processing (QIP) critically depends on the access to resonant optical materials. Rare-earth ion (REI)-based molecular systems, whose quantum properties could be tuned taking advantage of molecular engineering strategies, are one of the systems actively pursued for the implementation of QIP schemes. Herein, we demonstrate the efficient polarization of ground-state nuclear spins—a fundamental requirement for all-optical spin initialization and addressing—in a binuclear Eu(III) complex, featuring inhomogeneously broadened 5D0 → 7F0 optical transition. At 1.4 K, long-lived spectral holes have been burnt in the transition: homogeneous linewidth (Γh) = 22 ± 1 MHz, which translates as optical coherence lifetime (T2opt) = 14.5 ± 0.7 ns, and ground-state spin population lifetime (T1spin) = 1.6 ± 0.4 s have been obtained. The results presented in this study could be a progressive step towards the realization of molecule-based coherent light-spin QIP interfaces.

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Coherent Transients

Cited by 3 publications

References 7 publications

Quantum/Classical Interface: Classical Geometric Origin of Fermion Spin

Quantum/Classical Interface: Classical Geometric Origin of Fermion Spin

Dynamical Symmetries of the H Atom, One of the Most Important Tools of Modern Physics: SO(4) to SO(4,2), Background, Theory, and Use in Calculating Radiative Shifts

Optical spin-state polarization in a binuclear europium complex towards molecule-based coherent light-spin interfaces

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