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Electrically induced spin resonance fluorescence. I. Theory
Electrically induced spin resonance fluorescence. I. Theory

... maximum swing an oscillator can have and that ␻c = 1 / ␶b is the maximum angular frequency an oscillator can have. The quantity ␪ which parametrizes the different oscillators arises from the constant of integration which states that at Z = 0 the electron velocity is 具0 , vF cos共␪兲 , vF sin共␪兲典. Henc ...
quantum dynamics of integrable spin chains
quantum dynamics of integrable spin chains

... [27], and Abraham, Barouch, Gallavotti and Martin-Löf [1, 2, 3] have found the same kind of behavior for the XX model with an impurity. So, definitely, this unusual behavior of such systems could be discouraging, since, as Lebowitz pointed out in [16] discussing just these topics: almost all physica ...
Raman-induced oscillation between an atomic and a molecular
Raman-induced oscillation between an atomic and a molecular

... mechanical tunneling. The term proportional to U gives the contact energy between particles, which arises in the experiments from elastic collisions. At zero temperature, the Bose-Hubbard model exhibits a quantum phase transition from a superfluid state at low values of U/J to a Mott insulator state ...
Majorana Fermions and Non-Abelian Statistics in
Majorana Fermions and Non-Abelian Statistics in

... specific points on S2 . Such paths begin and end on hedgehogs, and a crucial role will be played by their linking properties. Figure 1 depicts four hedgehogs, where the top two (positive) hedgehogs are interchanged. At the first step in (b), the locations of the hedgehogs have been interchanged. Sin ...
Quantum Mechanical Path Integrals with Wiener Measures for all
Quantum Mechanical Path Integrals with Wiener Measures for all

... Path integrals for evolution operators of quantum mechanical systems are almost always defined as the limits of expressions involving finitely many integrals. ' Efforts to define them as integrals involving genuine measures on path spaces of continuous paths, or as limits of such integrals, have bee ...
Institute for Theoretical Physics of Phase Transitions
Institute for Theoretical Physics of Phase Transitions

... ξ is finite at a first-order phase transition of fluids and uniaxial magnets (but not of systems with a continuous symmetry, see below). In anisotropic systems, e. g., magnets with layered structures, two or three principle correlation lengths ξi = ξ0i /|t|ν may exist with different amplitudes ξ0i f ...
Hyperfine Splitting in Non-Relativistic Bound States Marc E. Baker
Hyperfine Splitting in Non-Relativistic Bound States Marc E. Baker

... We study the mass difference between the spin singlet and spin triplet states of positronium and heavy quarkonium, an effect which is referred to as the hyperfine splitting. For positronium, a bound state of an electron and a positron, we analyze the one-loop nonrelativistic effective Hamiltonian in ...
Phonon-mediated nuclear spin relaxation of H2O trapped in Ar matrix
Phonon-mediated nuclear spin relaxation of H2O trapped in Ar matrix

... the number of para H2O, by Gaussian fitting. The time dependence of the integrated intensity was well-described by an exponential function with the relaxation rate of 0.36 h-1. We also measured the rate at other temperatures in the range of 5-15 K. Figure 2 shows the temperature dependence of the me ...
Continuous Quantum Phase Transitions
Continuous Quantum Phase Transitions

... We show that considerable insight is gained by considering the path integral description of the quantum statistical mechanics of such systems, which takes the form of the classical statistical mechanics of a system in which time appears as an extra dimension. In particular, this allows the deduction ...
The Quantum Mechanics of Angular Momentum
The Quantum Mechanics of Angular Momentum

... commute with each other. This means that we cannot assign definite values to any two of these at once as we saw in our discussion of the uncertainty principle in chapter 13. Put another way, there are no functions that are simultaneously eigenfunctions of all three angular momentum operators. One wi ...
Statistical Physics
Statistical Physics

... were trying to establish the connection between thermal heat and mechanical work. This effort led to the fundamental laws of thermodynamics. In contrast to the laws of mechanics which had to be modified, these turned out to have a much larger range of validity. In fact, today we know that they can b ...
Monday, Oct. 2, 2006
Monday, Oct. 2, 2006

... Nuclear Models: Shell Model • Exploit the success of atomic model – Uses orbital structure of nucleons – Electron energy levels are quantized – Limited number of electrons in each level based on available spin and angular momentum configurations • For nth energy level, l angular momentum (l
Two-Dimensional Mott-Hubbard Electrons in an Artificial
Two-Dimensional Mott-Hubbard Electrons in an Artificial

... (9, 10). Here we report the creation of an artificial lattice with honeycomb geometry for trapping electrons, and we demonstrate the formation of HBs through strong correlations. We nanofabricated the artificial lattice on the surface of a gallium arsenide (GaAs) heterostructure that hosts a high-qu ...
- Philsci-Archive
- Philsci-Archive

Quantum critical phenomena and stability of atomic and molecular
Quantum critical phenomena and stability of atomic and molecular

Electron transport in nanoscale junctions with local anharmonic modes
Electron transport in nanoscale junctions with local anharmonic modes

... coupling,6, 7 but we find that in the SF model this type of blockade is missing altogether. In the second part of the paper we briefly compare the behavior of the two models in the quantum regime, in the complementary adiabatic limit (fast electrons and a slow impurity). Particularly, we examine the ...
5 Statistical Fluid Dynamics
5 Statistical Fluid Dynamics

Phys. Rev. Lett. 104, 255303
Phys. Rev. Lett. 104, 255303

... Bogoliubov quasiparticles have definite momentum referred to B, they cannot be labeled by ‘, because the condensate configuration breaks the symmetry under translation T y . The constant H 0c in Eq. (5) gives the zero-point correction to h0 which, along with the contribution from thermally excited q ...
Observation of a Discrete Time Crystal
Observation of a Discrete Time Crystal

Low-energy fusion dynamics of weakly bound nuclei
Low-energy fusion dynamics of weakly bound nuclei

... observables are useful for planning and interpreting particle-gamma coincidence measurements [8]. In Ref. [8], the spin and excitation energy distributions from PLATYPUS are used in combination with the evaporation code PACE for calculating the production of specific evaporation residues. Some evapor ...
Phys. Rev. Lett. 93, 073002
Phys. Rev. Lett. 93, 073002

... can absorb a single photon from either laser beam and be excited to an intermediate molecular state, from where it can decay via spontaneous emission to other bound or unbound states, leading to trap losses. In order to ameliorate these problems, we choose a rather large detuning j#j, which decrease ...
Statistical Postulate
Statistical Postulate

... we assign equal a priori probabilities to each possible outcome, such that 8Pi = n-1 , i = 1, n<. Thus, a uniform probability distribution represents the situation in which we possess the least information about the system: we know only the number of possible states of the die. From the probability ...
Kinetics of decay of metastable gas phase of polarized atomic
Kinetics of decay of metastable gas phase of polarized atomic

... role in the process of pair depolarization is played by dipole-dipole interaction. In this case depolarization results even if the weak hyperfine interaction is neglected. As will be demonstrated in this paper (see Sec. 31, in mangetic fields H > lo4 Oe and a t low temperature this depolarization me ...
Eigenstate Phase Transitions
Eigenstate Phase Transitions

... a quantum system, but not the thermal equilibrium properties of the same system. In this thesis, we study two different types of eigenstate phase transitions. The first is the eigenstate phase transition within the ferromagnetic phase of an infinite-range spin model. By studying the interplay of the ...
The initialization and manipulation of quantum information
The initialization and manipulation of quantum information

... time taken for the electron spins to polarize, and can be thought of as the timescale for storing classical information, in contrast to the quantum information storage time, T2 . As expected, T1 is dominated by phonons, but most of these have energies that are much larger than the energy gap between ...
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Ising model

The Ising model (/ˈaɪsɪŋ/; German: [ˈiːzɪŋ]), named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic spins that can be in one of two states (+1 or −1). The spins are arranged in a graph, usually a lattice, allowing each spin to interact with its neighbors. The model allows the identification of phase transitions, as a simplified model of reality. The two-dimensional square-lattice Ising model is one of the simplest statistical models to show a phase transition.The Ising model was invented by the physicist Wilhelm Lenz (1920), who gave it as a problem to his student Ernst Ising. The one-dimensional Ising model has no phase transition and was solved by Ising (1925) himself in his 1924 thesis. The two-dimensional square lattice Ising model is much harder, and was given an analytic description much later, by Lars Onsager (1944). It is usually solved by a transfer-matrix method, although there exist different approaches, more related to quantum field theory.In dimensions greater than four, the phase transition of the Ising model is described by mean field theory.
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