A short introduction to unitary 2-designs
... for all possible pt , where the integral is taken with respect to the normalized spherical measure. Note that by definition, a t-design is also a (t − 1)-design, since all monomials can have degree at most t (as long as all degrees are identical). Spherical designs exist for all t and d [1]. Let us ...
... for all possible pt , where the integral is taken with respect to the normalized spherical measure. Note that by definition, a t-design is also a (t − 1)-design, since all monomials can have degree at most t (as long as all degrees are identical). Spherical designs exist for all t and d [1]. Let us ...
92, 054101 (2004)
... The classical kicked rotor is a textbook paradigm for dynamical chaos [1]. The quantum kicked rotor has played an equally important role for the study of quantum chaos, for which a wide range of effects have been predicted [2] and observed in experiments [3]. In recent years, the realization of Bose ...
... The classical kicked rotor is a textbook paradigm for dynamical chaos [1]. The quantum kicked rotor has played an equally important role for the study of quantum chaos, for which a wide range of effects have been predicted [2] and observed in experiments [3]. In recent years, the realization of Bose ...
DC TRANSFORMER AND DC JOSEPHSON(-LIKE) EFFECTS IN QUANTUM HALL BILAYERS
... polynomial factor in this Laughlin state is totally antisymmetric and is equivalent to a single Slater determinant filling all the orbitals in the LLL. The meaning of the Laughlin wave function can be seen by comparison with the superconducting vortex problem. In the QHE regime vortices are not heav ...
... polynomial factor in this Laughlin state is totally antisymmetric and is equivalent to a single Slater determinant filling all the orbitals in the LLL. The meaning of the Laughlin wave function can be seen by comparison with the superconducting vortex problem. In the QHE regime vortices are not heav ...
Heralded Single-Magnon Quantum Memory for Photon Polarization States
... where jnik denotes n magnons in ensemble k (k ¼ A, B). At a later time, the stored state can be retrieved on demand as a single photon by utilizing the strong coupling of the magnon to the resonator [8,21] (‘‘read’’ process). The heralding serves to enhance the fidelity of the write process by annou ...
... where jnik denotes n magnons in ensemble k (k ¼ A, B). At a later time, the stored state can be retrieved on demand as a single photon by utilizing the strong coupling of the magnon to the resonator [8,21] (‘‘read’’ process). The heralding serves to enhance the fidelity of the write process by annou ...
Classical harmonic oscillator with quantum energy spectrum
... N. Bohr first attempted to answer these questions in his semi-classical theory of hydrogen-like atoms [1]. Bohr postulated, that atoms have discrete stationary energy levels, being on which, accelerated electron, in contradiction with classical electrodynamics, does not radiate the electromagnetic w ...
... N. Bohr first attempted to answer these questions in his semi-classical theory of hydrogen-like atoms [1]. Bohr postulated, that atoms have discrete stationary energy levels, being on which, accelerated electron, in contradiction with classical electrodynamics, does not radiate the electromagnetic w ...
Iizuka-11-11-09
... functions) decay exponentially at later time since information is absorbed inside the horizon Can we see this exponential damping/decay of correlation functions from unitary gauge theory at N =∞ ? ...
... functions) decay exponentially at later time since information is absorbed inside the horizon Can we see this exponential damping/decay of correlation functions from unitary gauge theory at N =∞ ? ...
Spin and Quantum Measurement
... indicate the two possible measurement results for the device; they correspond respectively to the results Sz = ± h 2 in the case where the field is oriented along the z–axis. Since there are only two possible results in this case, they are generally referred to simply as spin up and spin down. The p ...
... indicate the two possible measurement results for the device; they correspond respectively to the results Sz = ± h 2 in the case where the field is oriented along the z–axis. Since there are only two possible results in this case, they are generally referred to simply as spin up and spin down. The p ...
q -entropies and the entanglement dynamics of two-qubits interacting with an... 408 A. Hamadou-Ibrahim et al.
... of a set of field modes, b†k and bk being respectively the creation and annihilation operators corresponding to the k-mode. These field modes are characterized by frequencies ωk and coupling constants gk with the two-level system. The Hamiltonian (6) may describe, for instance, a qubit consisting of ...
... of a set of field modes, b†k and bk being respectively the creation and annihilation operators corresponding to the k-mode. These field modes are characterized by frequencies ωk and coupling constants gk with the two-level system. The Hamiltonian (6) may describe, for instance, a qubit consisting of ...
e - Physlab
... As a consequence of the Heisenberg uncertainty principle the more closely an electron is confined to a region of space the higher its kinetic energy will be. In an atom the electrons are confined by the Coulomb potential of the nucleus. The competition between the confining nature of the potential and ...
... As a consequence of the Heisenberg uncertainty principle the more closely an electron is confined to a region of space the higher its kinetic energy will be. In an atom the electrons are confined by the Coulomb potential of the nucleus. The competition between the confining nature of the potential and ...
Angular Momentum Coupling and Rabi Frequencies for Simple
... physics experiments (e.g. laser cooling, magneto-optical trapping, dipole trapping, optical pumping, etc.) it is important to be able to calculate the coupling strength or Rabi frequency of a laser-driven transition between two atomic states. However, a first attempt to do this can be a frustrating ...
... physics experiments (e.g. laser cooling, magneto-optical trapping, dipole trapping, optical pumping, etc.) it is important to be able to calculate the coupling strength or Rabi frequency of a laser-driven transition between two atomic states. However, a first attempt to do this can be a frustrating ...
Dyson equation for diffractive scattering
... good agreement with the numerically calculated exact quantum path length spectrum. We furthermore apply the PSCA to recent experimental studies of scattering in microwave billiards in which pseudopath contributions could be experimentally identified. The structure of the paper is as follows. In Sec. ...
... good agreement with the numerically calculated exact quantum path length spectrum. We furthermore apply the PSCA to recent experimental studies of scattering in microwave billiards in which pseudopath contributions could be experimentally identified. The structure of the paper is as follows. In Sec. ...
Metallic quantum dots - Chalmers University of Technology
... the nanoparticle size [3, 4]. In addition, the catalytic activity is changed when the nanoparticle regime is reached. Gold is a noble metal, and in its bulk form quite inert, but oxide supported gold clusters have shown very high chemical activity [5, 6, 8, 7], and have proved to be very well suited ...
... the nanoparticle size [3, 4]. In addition, the catalytic activity is changed when the nanoparticle regime is reached. Gold is a noble metal, and in its bulk form quite inert, but oxide supported gold clusters have shown very high chemical activity [5, 6, 8, 7], and have proved to be very well suited ...
A New Form of Matter (pdf, 217 kB)
... magnetic traps, the atoms overlapped and formed a single giant (by atomic standards) matter wave. Says Ketterle: "Pictures of BECs can be regarded as photographs of wave functions" -- that is, solutions to Schrodinger's equation. Working independently in 1995, Eric Cornell (National Institute of Sta ...
... magnetic traps, the atoms overlapped and formed a single giant (by atomic standards) matter wave. Says Ketterle: "Pictures of BECs can be regarded as photographs of wave functions" -- that is, solutions to Schrodinger's equation. Working independently in 1995, Eric Cornell (National Institute of Sta ...
Kern- und Teilchenphysik I Lecture 10: Dirac Equation II
... « Since we have a four component spinor, only four are linearly independent § Could choose to work with or or … § Natural to use choose +ve energy solutions ...
... « Since we have a four component spinor, only four are linearly independent § Could choose to work with or or … § Natural to use choose +ve energy solutions ...
A strange, elusive phenomenon called supersymmetry was
... ways. Others mimic the structure that works so well for the orbiting electrons: shells of discrete orbitals that the nucleons steadily fill up, starting from the lowest energy level. The different models tend to work best for specific classes of nuclei, depending on how many nucleons are involved ov ...
... ways. Others mimic the structure that works so well for the orbiting electrons: shells of discrete orbitals that the nucleons steadily fill up, starting from the lowest energy level. The different models tend to work best for specific classes of nuclei, depending on how many nucleons are involved ov ...
Document
... At the source the electron is being emitted as particle and is experimentally detected as a electron which is absorbed by an individual atom in the fluorescent plate In between, we must interpret the electron in the form of a wave. The double slits change the propagation of the electron wave so that ...
... At the source the electron is being emitted as particle and is experimentally detected as a electron which is absorbed by an individual atom in the fluorescent plate In between, we must interpret the electron in the form of a wave. The double slits change the propagation of the electron wave so that ...
Mechanical Proof of the Second Law of Thermodynamics Based on
... and setting h equal to Plank’s constant allows to see that SΦ is a quantized quantity whose possible values are (within the range of validity of the approximation): ...
... and setting h equal to Plank’s constant allows to see that SΦ is a quantized quantity whose possible values are (within the range of validity of the approximation): ...