Canonical commutation relations, the Weierstrass Zeta function, and
... Recently Wiegmann and Zabrodin8 considered a quantum system of a particle on a twodimensional square lattice in a magnetic field and showed that magnetic translations on the lattice are related to finite-dimensional representations of the quantum group U q ~sl2!. Inspired by their work, we investiga ...
... Recently Wiegmann and Zabrodin8 considered a quantum system of a particle on a twodimensional square lattice in a magnetic field and showed that magnetic translations on the lattice are related to finite-dimensional representations of the quantum group U q ~sl2!. Inspired by their work, we investiga ...
Adiabatic Geometric Phases and Response Functions
... function is connected to the time-correlation function, we can see that the generalized vector potential (connection one-form) is directly related to viscosity. This is due to the fact that the time integral of the relaxation function is identified with viscosity in linear viscoelastic theory. Let u ...
... function is connected to the time-correlation function, we can see that the generalized vector potential (connection one-form) is directly related to viscosity. This is due to the fact that the time integral of the relaxation function is identified with viscosity in linear viscoelastic theory. Let u ...
Simulation of Quantum Gates on a Novel GPU Architecture
... Consequently, the CUDA kernel code must determine in parallel every pair of the form {αi , αi⊕2q }. In total as there exists 2n−1 pairs, the same number of threads will be required. Each thread is in charge of computing the transformation U for each pair (Fig. 3). As a given coefficient belongs to o ...
... Consequently, the CUDA kernel code must determine in parallel every pair of the form {αi , αi⊕2q }. In total as there exists 2n−1 pairs, the same number of threads will be required. Each thread is in charge of computing the transformation U for each pair (Fig. 3). As a given coefficient belongs to o ...
Chapter 2: Interacting Rydberg atoms
... can be achieved with laser-cooled atoms, it is natural to ask what happens when there are more than two atoms located inside the blockade radius. For N atoms that can be either in the |gi or in the |ri state, the tensor product Hilbert space contains 2N basis states. This exponential scaling of the ...
... can be achieved with laser-cooled atoms, it is natural to ask what happens when there are more than two atoms located inside the blockade radius. For N atoms that can be either in the |gi or in the |ri state, the tensor product Hilbert space contains 2N basis states. This exponential scaling of the ...
Ultrafast geometric control of a single qubit using chirped pulses
... Bloch vector pointing in the z (−z)-direction, while the vector Ω1 = (−e , 0, 0) points in the −x-direction (for simplicity we chose 1φ = 0 for the first π-pulse). The first π-pulse flips the population to the state |1i (|0i), correspondingly the Bloch vector turns about the effective field vector ...
... Bloch vector pointing in the z (−z)-direction, while the vector Ω1 = (−e , 0, 0) points in the −x-direction (for simplicity we chose 1φ = 0 for the first π-pulse). The first π-pulse flips the population to the state |1i (|0i), correspondingly the Bloch vector turns about the effective field vector ...
Spin Hall Effect in
... in p-type GaAs quantum well structure Luttinger Hamiltonian with a Rashba spin-orbit coupling arising from the structural inversion symmetry breaking. Rashba term induces an energy level crossing in the lowest heavy hole sub-band, which gives rise to a resonant spin Hall conductance. The resonance m ...
... in p-type GaAs quantum well structure Luttinger Hamiltonian with a Rashba spin-orbit coupling arising from the structural inversion symmetry breaking. Rashba term induces an energy level crossing in the lowest heavy hole sub-band, which gives rise to a resonant spin Hall conductance. The resonance m ...
Almost all decoherence models lead to shot noise scaling in
... Standard Quantum Limit (Shot noise limit) ...
... Standard Quantum Limit (Shot noise limit) ...
Field extension of real values of physical observables in classical
... real and pure imaginary parts could lead to problems in the quantum formalism, as two observations may “interfere” with one another. Inspite of having complex eigenvalues, nonhermitian operators have found several applications [23–33] in studying open quantum systems in nuclear physics [23] and quan ...
... real and pure imaginary parts could lead to problems in the quantum formalism, as two observations may “interfere” with one another. Inspite of having complex eigenvalues, nonhermitian operators have found several applications [23–33] in studying open quantum systems in nuclear physics [23] and quan ...
Spin-liquids
... ■ Models are not crazy but contrived. It remains a huge challenge to find these phases in the lab – and develop theoretical techniques to look for them in realistic models. ...
... ■ Models are not crazy but contrived. It remains a huge challenge to find these phases in the lab – and develop theoretical techniques to look for them in realistic models. ...
Quantum optimal control theory applied to transitions in
... technique to construct optimal laser pulses. The yield of the reaction product is monitored, and the pulse is adjusted and shaped to maximize the yield. The present work has its focus on the related theoretical methods, in particular, optimal control theory applied to quantum systems. The present wo ...
... technique to construct optimal laser pulses. The yield of the reaction product is monitored, and the pulse is adjusted and shaped to maximize the yield. The present work has its focus on the related theoretical methods, in particular, optimal control theory applied to quantum systems. The present wo ...
The Fourier grid Hamiltonian method for bound state eigenvalues and eigenfunctions c.
... Schrodinger's equation is composed of the sum of a kinetic energy and a potential energy operator. The kinetic energy operator is best represented in the momentum representation, as the basic vectors of this representation are eigenfunctions of both the linear momentum and the kinetic energy operato ...
... Schrodinger's equation is composed of the sum of a kinetic energy and a potential energy operator. The kinetic energy operator is best represented in the momentum representation, as the basic vectors of this representation are eigenfunctions of both the linear momentum and the kinetic energy operato ...
