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We consider a free hydrogen atom composed of a spin-1/2 nucleus and a spin-1/2 electron in the standard model of non-relativistic QED. We study the Pauli-Fierz Hamiltonian associated with this system at a fixed total momentum. For small…

数学物理 · 物理学 2015-06-03 Laurent Amour , Jérémy Faupin

In this article, we consider fixed spin 1/2 particles interacting through the quantized electromagnetic field in a constant magnetic field. We give some asymptotic expansions for the ground state and the ground state energy of the…

数学物理 · 物理学 2016-03-29 Laurent Amour , Jean Nourrigat

We show that the Hamiltonian describing N nonrelativistic electrons with spin, interacting with the quantized radiation field and several fixed nuclei with total charge Z has a ground state when N <Z+1. The result holds for any value of the…

数学物理 · 物理学 2007-05-23 Elliott H. Lieb , Michael Loss

In this article, we consider fixed spin-1/2 particles interacting through the quantized electromagnetic field in a constant magnetic field. We give approximate evolutions of coherent states. This uses spins-photon classical Hamiltonian…

偏微分方程分析 · 数学 2015-12-29 L. Amour , J. Nourrigat

We consider a charged particle, spin 1/2, with relativistic kinetic energy and minimally coupled to the quantized Maxwell field. Since the total momentum is conserved, the Hamiltonian admits a fiber decomposition as $H(P)$, $P\in \BbbR^3$.…

数学物理 · 物理学 2008-06-02 Tadahiro Miyao , Herbert Spohn

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…

强关联电子 · 物理学 2014-01-15 Solomon A. Owerre , M. B. Paranjape

We consider an electron, spin 1/2, minimally coupled to the quantized radiation field in the nonrelativistic approximation, a situation defined by the Pauli-Fierz Hamiltonian $H$. There is no external potential and $H$ fibers according to…

数学物理 · 物理学 2007-05-23 F. Hiroshima , H. Spohn

Within the framework of nonrelativisitic quantum electrodynamics we consider a single nucleus and $N$ electrons coupled to the radiation field. Since the total momentum $P$ is conserved, the Hamiltonian $H$ admits a fiber decomposition with…

数学物理 · 物理学 2007-05-23 Michael Loss , Tadahiro Miyao , Herbert Spohn

The time evolution of spin states of two electrons interacting with a nuclear spin bath in a quantum dot system is studied. The hyperfine interaction between the electrons and the nuclear spins is modeled by an isotropic Heisenberg…

量子物理 · 物理学 2013-07-09 D. D. Bhaktavatsala Rao , V. Ravishankar , V. Subrahmanyam

We consider an electron, spin 1/2, minimally coupled to the quantized radiation field in the nonrelativistic approximation, a situation defined by the Pauli-Fierz Hamiltonian $H$. There is no external potential and $H$ fibers as…

数学物理 · 物理学 2007-05-23 F. Hiroshima , H. Spohn

Relativistic and QED corrections were calculated for hyperfine splitting of the $2S_{1/2}$ ground state in $^{6,7}$Li atoms with an exact account for electronic correlations. The resulting theoretical predictions achieved such a precision…

原子物理 · 物理学 2015-06-17 Mariusz Puchalski , Krzysztof Pachucki

The mechanism of backbending is semi-phenomenologically investigated based on the hybridization of two rotational bands. These bands are defined by treating a model Hamiltonian describing two interacting subsystems: a set of particles…

核理论 · 物理学 2015-05-30 A. A. Raduta , R. Budaca

Hyperfine interaction of electron spins with nuclear spins, in coupled double quantum dots is studied. Results of successive electron spin measurements exhibit bunching due to correlations induced via the nuclear spins. Further nuclear…

介观与纳米尺度物理 · 物理学 2009-11-11 Ozgur Cakir , Toshihide Takagahara

We consider a translation-invariant Pauli-Fierz model describing a non-relativistic charged quantum mechanical particle interacting with the quantized electromagnetic field. The charged particle may be spinless or have spin one half. We…

数学物理 · 物理学 2024-02-02 David Hasler , Oliver Siebert

We consider a nonrelativistic electron interacting with a classical magnetic field pointing along the $x_{3}$-axis and with a quantized electromagnetic field. When the interaction between the electron and photons is turned off, the…

数学物理 · 物理学 2007-05-23 L. Amour , B. Grebert , J. -C. Guillot

We study electron spin decoherence in a two-electron double quantum dot due to the hyperfine interaction, under spin-echo conditions as studied in recent experiments. We develop a semi-classical model for the interaction between the…

介观与纳米尺度物理 · 物理学 2011-09-07 Izhar Neder , Mark S. Rudner , Hendrik Bluhm , Sandra Foletti , Bertrand I. Halperin , Amir Yacoby

We investigated electron-nuclear spin entanglement in the paramagnetic ground state of the Ho-based cubic compound HoCo2Zn20. From analyses of magnetization and specific heat data, we determined the cubic crystalline electric field (CEF)…

We extend study of the Jaynes-Cummings model involving a pair of identical two-level atoms (or qubits) interacting with a single mode quantized field. We investigate the effects of replacing the radiation field mode with a composite spin,…

量子物理 · 物理学 2017-07-26 Iskandar Bahari , Timothy P. Spiller , Shane Dooley , Anthony Hayes , Francis McCrossan

We consider the semi-relativistic Pauli-Fierz Hamiltonian and a no-pair model of a hydrogen-like atom interacting with a quantized photon field at the respective critical values of the Coulomb coupling constant. For arbitrary values of the…

数学物理 · 物理学 2013-08-07 Martin Könenberg , Oliver Matte

The two degenerate ground states of the anisotropic Heisenberg (XY) spin model of a chain of qubits (pseudo-spins) can encode quantum information, but their degree of protection against local perturbations is known to be only partial. We…

介观与纳米尺度物理 · 物理学 2017-08-23 Adam Callison , Eytan Grosfeld , Eran Ginossar
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