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Starting from a microscopic tight-binding model and using second order perturbation theory, we derive explicit expressions for the intrinsic and Rashba spin-orbit interaction induced gaps in the Dirac-like low-energy band structure of an…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hongki Min , J. E. Hill , N. A. Sinitsyn , B. R. Sahu , Leonard Kleinman , A. H. MacDonald

We investigate the details of the electronic structure in the neighborhoods of a carbon atom vacancy in graphene by employing magnetization-constrained density-functional theory on periodic slabs, and spin-exact, multi-reference,…

Materials Science · Physics 2013-11-27 M. Casartelli , S. Casolo , G. F. Tantardini , R. Martinazzo

We study a class of interacting, harmonically trapped boson systems at angular momentum L. The Hamiltonian leaves a L-dimensional subspace invariant, and this permits an explicit solution of several eigenstates and energies for a wide class…

Condensed Matter · Physics 2009-10-31 Thomas Papenbrock , George F. Bertsch

We conduct a theoretical study of SU(N) fermions confined by a one-dimensional harmonic potential. Firstly, we introduce a new numerical approach for solving the trapped interacting few-body problem, by which one may obtain accurate energy…

Quantum Gases · Physics 2018-05-02 E. K. Laird , Z. -Y. Shi , M. M. Parish , J. Levinsen

We analyze a model for spin squeezing based on the so-called counter-twisting Hamiltonian, including the effects of dissipation and finite system size. We discuss the conditions under which the Heisenberg limit, i.e. phase sensitivity…

Quantum Physics · Physics 2009-11-07 A. André , M. D. Lukin

Transition metal (TM) defects in silicon carbide have favorable spin coherence properties and are suitable as quantum memory for quantum communication. To characterize TM defects as quantum spin-photon interfaces, we model defects that have…

Mesoscale and Nanoscale Physics · Physics 2021-02-25 Benedikt Tissot , Guido Burkard

Ring exchange is an elementary interaction for modeling unconventional topological matters which hold promise for efficient quantum information processing. We report the observation of four-body ring-exchange interactions and the…

Using group theory and Kane-like $\mathbf{k\cdot p}$ model together with the L\"owdining partition method, we derive the expressions of spin-orbit coupling of electrons and holes, including the linear-$k$ Rashba term due to the intrinsic…

Materials Science · Physics 2008-11-13 J. Y. Fu , M. W. Wu

We examine the spin asymmetry of ground states for two-dimensional, harmonically trapped two-component gases of fermionic atoms at zero temperature with weakly repulsive short range interactions. Our main result is that, in contrast to the…

Other Condensed Matter · Physics 2007-06-25 M. Ogren , K. Karkkainen , Y. Yu , S. M. Reimann

We proposed and demonstrated a new approach for realizing spin orbit coupling with ultracold atoms. We use orbital levels in a double well potential as pseudospin states. Two-photon Raman transitions between left and right wells induce…

We consider a spin-orbit coupled system of particles in an external trap that is represented by a deformed harmonic oscillator potential. The spin-orbit interaction is a Rashba interaction that does not commute with the trapping potential…

Quantum Gases · Physics 2013-06-25 O. V. Marchukov , A. G. Volosniev , D. V. Fedorov , A. S. Jensen , N. T. Zinner

Spin coupling between magnetic metal atoms and organic radicals plays a pivotal role in high-performance magnetic materials. The complex interaction involving multi-spin centers in bulk materials makes it challenging to study spin coupling…

Four identical spinless bosons with purely attractive two-body short-range interactions and repulsive three-body interactions under external spherically symmetric harmonic confinement are considered. The repulsive three-body potential…

Quantum Gases · Physics 2018-04-04 D. Blume , M. W. C. Sze , J. L. Bohn

We study the simple Hamiltonian, $H=-K(S_{1z}^2 +S_{2z}^2)+ \lambda\vec S_1\cdot\vec S_2$, of two, large, coupled spins which are taken equal, each of total spin $s$ with $\lambda$ the exchange coupling constant. The exact ground state of…

Strongly Correlated Electrons · Physics 2014-01-15 Solomon A. Owerre , M. B. Paranjape

Spin-orbit coupling is a single-particle phenomenon known to generate topological order, and electron-electron interactions cause ordered many-body phases to exist. The rich interplay of these two mechanisms is present in a broad range of…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Weizhe Edward Liu , Stefano Chesi , David Webb , U. Zuelicke , R. Winkler , Robert Joynt , Dimitrie Culcer

We show that spin systems with generic (ferro- or paramagnetic, or random) interactions are "completely integrable". The approach is worked out, by way of example, for the Sherrington Kirkpatrick model: we derive an exact, closed formula…

Probability · Mathematics 2022-04-21 Nicola Kistler

We study a spinor fermionic system under the effect of spin-exchange interaction. We focus on the interplay between the spin-exchange interaction and the effective quadratic Zeeman shift. We examine the static and the dynamic properties of…

Quantum Gases · Physics 2015-06-15 Ying Dong , Han Pu

We numerically study imbalanced two component Fermi gases with attractive interactions in highly elongated harmonic traps. An accurate parametrization formula for the ground state energy is presented for a spin-polarized attractive…

Strongly Correlated Electrons · Physics 2008-03-20 Gao Xianlong , Reza Asgari

We study the quantum dynamics of a spin ensemble coupled to cavity photons. Recently, related experimental results have been reported, showing the existence of the strong coupling regime in such systems. We study the eigenenergy…

Mesoscale and Nanoscale Physics · Physics 2012-06-13 S. Miyashita , T. Shirai , T. Mori , H. De Raedt , S. Bertaina , I. Chiorescu

We derive one-dimensional effective Hamiltonians for spin-orbit coupled Fermi gases confined in quasi-one-dimensional trapping potentials. For energy regime around the two-body bound state energy, the effective Hamiltonian takes a…

Quantum Gases · Physics 2013-11-13 Ren Zhang , Wei Zhang
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