Chapter 7 Spin and Spin–Addition
... All particles leaving the Stern-Gerlach apparatus are then in an eigenstate of the Sz operator, i.e., their spin is either ”up” or ”down” with respect to the z-direction. Let’s now concentrate on the ”spin up” particles (in z-direction), that means we block up the ”spin down” in some way, and perfor ...
... All particles leaving the Stern-Gerlach apparatus are then in an eigenstate of the Sz operator, i.e., their spin is either ”up” or ”down” with respect to the z-direction. Let’s now concentrate on the ”spin up” particles (in z-direction), that means we block up the ”spin down” in some way, and perfor ...
Quantum critical states and phase transitions in the presence of non
... of the art experiments in atomic physics. Of particular interest in this regard are systems of ultracold polar molecules[1, 2] and long chains of ultracold trapped ions[3]. On the one hand these systems offer unique possibilities to realize strongly correlated many-body states, which undergo interes ...
... of the art experiments in atomic physics. Of particular interest in this regard are systems of ultracold polar molecules[1, 2] and long chains of ultracold trapped ions[3]. On the one hand these systems offer unique possibilities to realize strongly correlated many-body states, which undergo interes ...
Effects of thermal and quantum fluctuations on the phase diagram of
... BEC) in 1998 [1, 2], many interesting phenomena have been investigated. Due to the competition between the interatomic interactions and the coupling of atoms to an external magnetic field [3, 4], these systems can exhibit various phases having different spinor order parameters [2]. Both theoretical ...
... BEC) in 1998 [1, 2], many interesting phenomena have been investigated. Due to the competition between the interatomic interactions and the coupling of atoms to an external magnetic field [3, 4], these systems can exhibit various phases having different spinor order parameters [2]. Both theoretical ...
New Journal of Physics Quantum interference-induced stability of repulsively Lea F Santos
... S zj S zj+1 is the Ising-type interaction and S xj S xj+1 + S j S j+1 is the flip-flop term4 . We assume a large effective magnetic field, B |Jz |, pointing up in the z direction, so that the ground state has all spins pointing down, independently of the sign of Jz . A spin pointing up corresponds ...
... S zj S zj+1 is the Ising-type interaction and S xj S xj+1 + S j S j+1 is the flip-flop term4 . We assume a large effective magnetic field, B |Jz |, pointing up in the z direction, so that the ground state has all spins pointing down, independently of the sign of Jz . A spin pointing up corresponds ...
magnetic-properties
... The magnetic field strength needed to bring the induced magnetization to zero is termed as coercivity, Hc. This must be applied anti-parallel to the original field. A further increase in the field in the opposite direction results in a maximum induction in the opposite direction. The field can o ...
... The magnetic field strength needed to bring the induced magnetization to zero is termed as coercivity, Hc. This must be applied anti-parallel to the original field. A further increase in the field in the opposite direction results in a maximum induction in the opposite direction. The field can o ...
Non-abelian quantum Hall states and fractional charges in one dimension Emma Wikberg
... The fractional quantum Hall effect has, since its discovery around 30 years ago, been a vivid field of research—both experimentally and theoretically. In this thesis we investigate certain non-abelian quantum Hall states by mapping the two-dimensional system onto a thin torus, where the problem beco ...
... The fractional quantum Hall effect has, since its discovery around 30 years ago, been a vivid field of research—both experimentally and theoretically. In this thesis we investigate certain non-abelian quantum Hall states by mapping the two-dimensional system onto a thin torus, where the problem beco ...
Non-abelian quantum Hall states and fractional charges in
... The fractional quantum Hall effect has, since its discovery around 30 years ago, been a vivid field of research—both experimentally and theoretically. In this thesis we investigate certain non-abelian quantum Hall states by mapping the two-dimensional system onto a thin torus, where the problem beco ...
... The fractional quantum Hall effect has, since its discovery around 30 years ago, been a vivid field of research—both experimentally and theoretically. In this thesis we investigate certain non-abelian quantum Hall states by mapping the two-dimensional system onto a thin torus, where the problem beco ...
ISOBARIC-SPIN SPLITTING OF SINGLE
... so formed has two single-particle modes of oscillation. If we had precise chargeindependence these modes would be characterized b y T; but if the singleparticle components are fairly far apart (say 1 MeV or more) it seems altogether probable that, while the Coulomb effects could make a large change ...
... so formed has two single-particle modes of oscillation. If we had precise chargeindependence these modes would be characterized b y T; but if the singleparticle components are fairly far apart (say 1 MeV or more) it seems altogether probable that, while the Coulomb effects could make a large change ...
Characterizing Si: P quantum dot qubits with spin resonance
... ac-magnetic field for single qubit operations and an inter-donor exchange coupling for two-qubit operations. Experimentally, ac-magnetic fields have been used to perform electron spin resonance (ESR) and nuclear magnetic resonance (NMR) on single phosphorus electron14 and nuclear spins15 respective ...
... ac-magnetic field for single qubit operations and an inter-donor exchange coupling for two-qubit operations. Experimentally, ac-magnetic fields have been used to perform electron spin resonance (ESR) and nuclear magnetic resonance (NMR) on single phosphorus electron14 and nuclear spins15 respective ...
X 5 Berry phase in solid state physics
... at time t. The probability of finding a particle in a particular level remains unchanged, even though each level acquires a different dynamical phase e−i/~ǫm t . In particular, if one starts with an eigenstate of the Hamiltonian, |ψ0 i = |ni, with am = δm,n , then the probability amplitude does not ...
... at time t. The probability of finding a particle in a particular level remains unchanged, even though each level acquires a different dynamical phase e−i/~ǫm t . In particular, if one starts with an eigenstate of the Hamiltonian, |ψ0 i = |ni, with am = δm,n , then the probability amplitude does not ...
Investigation of excitation energies and Hund`s rule in open shell
... studies [10,15], and these oscillations get stronger at large rs , but these have only a rough qualitative resemblance to the oscillations in the one-body spin density observed in the ULSDA calculations. For one thing the oscillations in the two-body spin density are present at all rs whereas in the ...
... studies [10,15], and these oscillations get stronger at large rs , but these have only a rough qualitative resemblance to the oscillations in the one-body spin density observed in the ULSDA calculations. For one thing the oscillations in the two-body spin density are present at all rs whereas in the ...
Charge degrees of freedom on the kagome lattice
... Within condensed matter physics, systems with strong electronic correlations give rise to fascinating phenomena which characteristically require a physical description beyond a one-electron theory, such as high temperature superconductivity, or Mott metal-insulator transitions. In this thesis, a cla ...
... Within condensed matter physics, systems with strong electronic correlations give rise to fascinating phenomena which characteristically require a physical description beyond a one-electron theory, such as high temperature superconductivity, or Mott metal-insulator transitions. In this thesis, a cla ...
Understanding Molecular Simulations
... Paul Dirac, after completing his formalism of quantum mechanics: “The rest is chemistry…”. This is a heavy burden the shoulders of “chemistry”: The “rest” amounts to the quantitative description of the world around us and the prediction of all every-day phenomena ranging from the chemical reactions ...
... Paul Dirac, after completing his formalism of quantum mechanics: “The rest is chemistry…”. This is a heavy burden the shoulders of “chemistry”: The “rest” amounts to the quantitative description of the world around us and the prediction of all every-day phenomena ranging from the chemical reactions ...
Infinitely Disordered Critical Behavior in Higher Dimensional
... a detailed review see [14]. In the understanding of critical phenomena in disordered quantum systems the strong disorder renormalization group (SDRG) method played a crucial role. After the early works by McCoy and others [15–19], Fisher used the method to obtain exact analytical results for the one ...
... a detailed review see [14]. In the understanding of critical phenomena in disordered quantum systems the strong disorder renormalization group (SDRG) method played a crucial role. After the early works by McCoy and others [15–19], Fisher used the method to obtain exact analytical results for the one ...
The Heisenberg antiferromagnet on the square
... crystal with a well-pronounced gap to all excitations which can be attributed to the nonequivalence of the NN bonds and to the even number of s = 1/2 spins in the unit cell [11,12,34]. In this paper we consider the spin-half HAFM on the square-kagomé [49–51] lattice (see figure 1). The square-kagom ...
... crystal with a well-pronounced gap to all excitations which can be attributed to the nonequivalence of the NN bonds and to the even number of s = 1/2 spins in the unit cell [11,12,34]. In this paper we consider the spin-half HAFM on the square-kagomé [49–51] lattice (see figure 1). The square-kagom ...
Document
... Experimental results presented mostly reflect work in the Yacoby and Marcus groups at Harvard. ...
... Experimental results presented mostly reflect work in the Yacoby and Marcus groups at Harvard. ...
Lecture Notes for Chemistry 543, Part III
... Reading: Chapters 6 and 7 of Bernath; Levine pp 142-174. As in any branch of spectroscopy, we need to determine (1) the eigenvalues of the Hamiltonian in order to know the frequencies of the possible transitions, (2) the selection rules to determine what transitions actually occur, (3) the transitio ...
... Reading: Chapters 6 and 7 of Bernath; Levine pp 142-174. As in any branch of spectroscopy, we need to determine (1) the eigenvalues of the Hamiltonian in order to know the frequencies of the possible transitions, (2) the selection rules to determine what transitions actually occur, (3) the transitio ...