Spin tune in the single resonance model with a pair of
... obtained which is valid at first order in h̄ [9]. This emphasises again that, as with all action–angle formulations, the spin frequency cannot depend on orbital phases. Moreover, it is easy to show that at orbital resonance, ( i.e. k 0 + k1 Q1 + k2 Q2 + k3 Q3 = 0 for suitable integers k) the “diagon ...
... obtained which is valid at first order in h̄ [9]. This emphasises again that, as with all action–angle formulations, the spin frequency cannot depend on orbital phases. Moreover, it is easy to show that at orbital resonance, ( i.e. k 0 + k1 Q1 + k2 Q2 + k3 Q3 = 0 for suitable integers k) the “diagon ...
Hexagonal Plaquette Spin-spin Interactions and Quantum
... Additionally, optical trapping of an ion has been shown experimentally using either a single beam dipole trap [50, 51, 52] or an optical lattice [53, 54, 55, 56]. An interesting alternative option would be to dress the ion of interest with a Rydberg state, such that the dipole moment induced by the ...
... Additionally, optical trapping of an ion has been shown experimentally using either a single beam dipole trap [50, 51, 52] or an optical lattice [53, 54, 55, 56]. An interesting alternative option would be to dress the ion of interest with a Rydberg state, such that the dipole moment induced by the ...
A Noncommutative Sigma Model by Mauritz van den Worm
... and study some of its more interesting properties, such as the fact that it can be written as a crossed product which will greatly aid us in determining its K-theory and the unique trace on the quantum torus. The final section of Chapter 1 deals with a finite dimensional representation of the quantu ...
... and study some of its more interesting properties, such as the fact that it can be written as a crossed product which will greatly aid us in determining its K-theory and the unique trace on the quantum torus. The final section of Chapter 1 deals with a finite dimensional representation of the quantu ...
Spins in few-electron quantum dots
... FIG. 2. Lateral quantum dot device defined by metal surface electrodes. 共a兲 Schematic view. Negative voltages applied to metal gate electrodes 共dark gray兲 lead to depleted regions 共white兲 in the 2DEG 共light gray兲. Ohmic contacts 共light gray columns兲 enable bonding wires 共not shown兲 to make electrica ...
... FIG. 2. Lateral quantum dot device defined by metal surface electrodes. 共a兲 Schematic view. Negative voltages applied to metal gate electrodes 共dark gray兲 lead to depleted regions 共white兲 in the 2DEG 共light gray兲. Ohmic contacts 共light gray columns兲 enable bonding wires 共not shown兲 to make electrica ...
Lecture Notes in Quantum Mechanics Doron Cohen
... In order to give information on the inertial mass of an object, we have to agree on some reference mass, say the ”kg”, to set the units. Within the framework of quantum mechanics the above Newtonian definition of inertial mass will not be used. Rather we define mass in an absolute way, that does not ...
... In order to give information on the inertial mass of an object, we have to agree on some reference mass, say the ”kg”, to set the units. Within the framework of quantum mechanics the above Newtonian definition of inertial mass will not be used. Rather we define mass in an absolute way, that does not ...
Periodic models in quantum chemical simulations of F centers in
... into the crystalline environment (embedded cluster), (ii) surface atoms are saturated by hydrogen or other atoms (saturated molecular cluster), (iii) in the simplest case, the free cluster (neutral or charged) is used where the rest of the crystal is neglected. The most refined embedding methods are ...
... into the crystalline environment (embedded cluster), (ii) surface atoms are saturated by hydrogen or other atoms (saturated molecular cluster), (iii) in the simplest case, the free cluster (neutral or charged) is used where the rest of the crystal is neglected. The most refined embedding methods are ...
Detecting a many-body mobility edge with quantum
... the antiferromagnetic XXZ model in a random field [6, 7, 16, 17, 20], and the random-bond Ising model in a transverse field [19], among others. These models have the common feature that, when not protected from disorder by an energy gap, the ground state is localized for any arbitrary disorder stren ...
... the antiferromagnetic XXZ model in a random field [6, 7, 16, 17, 20], and the random-bond Ising model in a transverse field [19], among others. These models have the common feature that, when not protected from disorder by an energy gap, the ground state is localized for any arbitrary disorder stren ...
Braunstein
... rough measure of the complexity of the underlying quantum state. However, there are exceptions … For mixed states, even the unentangled state description is already complex. Nonetheless, entanglement seems to play the same role (for speed-up) in all examples examined todate, an intuition which exten ...
... rough measure of the complexity of the underlying quantum state. However, there are exceptions … For mixed states, even the unentangled state description is already complex. Nonetheless, entanglement seems to play the same role (for speed-up) in all examples examined todate, an intuition which exten ...
Magnetic susceptibility of topological nodal semimetals
... at discrete (Weyl) points of the Brillouin zone and disperse linearly in all directions around these critical points. The same type of the band contact occurs in the Dirac semimetals, but the bands are double degenerate in spin; i.e., a Dirac point can be considered as a couple of the Weyl points ov ...
... at discrete (Weyl) points of the Brillouin zone and disperse linearly in all directions around these critical points. The same type of the band contact occurs in the Dirac semimetals, but the bands are double degenerate in spin; i.e., a Dirac point can be considered as a couple of the Weyl points ov ...
1 Path Integrals and Their Application to Dissipative Quantum Systems
... brackets between position and momentum in classical mechanics lead us to introduce noncommuting operators in quantum mechanics. The Hamilton function turns into the Hamilton operator, the central object in the Schrödinger equation. One of the most important tasks is to find the eigenfunctions of the ...
... brackets between position and momentum in classical mechanics lead us to introduce noncommuting operators in quantum mechanics. The Hamilton function turns into the Hamilton operator, the central object in the Schrödinger equation. One of the most important tasks is to find the eigenfunctions of the ...
Quantum Monte Carlo, or, how to solve the many
... function required for importance sampling - that is, grouping the sampling points in regions where they are most required - and the final DMC energy depends only weakly on the nodal surface of this guiding function (i.e. the set of points in configuration space at which the function is zero). It sho ...
... function required for importance sampling - that is, grouping the sampling points in regions where they are most required - and the final DMC energy depends only weakly on the nodal surface of this guiding function (i.e. the set of points in configuration space at which the function is zero). It sho ...
Hydrogen atom
A hydrogen atom is an atom of the chemical element hydrogen. The electrically neutral atom contains a single positively charged proton and a single negatively charged electron bound to the nucleus by the Coulomb force. Atomic hydrogen constitutes about 75% of the elemental (baryonic) mass of the universe.In everyday life on Earth, isolated hydrogen atoms (usually called ""atomic hydrogen"" or, more precisely, ""monatomic hydrogen"") are extremely rare. Instead, hydrogen tends to combine with other atoms in compounds, or with itself to form ordinary (diatomic) hydrogen gas, H2. ""Atomic hydrogen"" and ""hydrogen atom"" in ordinary English use have overlapping, yet distinct, meanings. For example, a water molecule contains two hydrogen atoms, but does not contain atomic hydrogen (which would refer to isolated hydrogen atoms).