quantum information exchange between photons and atoms
... In contrast to conventional cryptography, whose security often relies on mathematical theory and computation power, QKD promises unconditional security based on the fundamental laws of quantum mechanics. The first quantum cryptography protocol was proposed by C. Bennett and G. Brassard in 1984 [11] ...
... In contrast to conventional cryptography, whose security often relies on mathematical theory and computation power, QKD promises unconditional security based on the fundamental laws of quantum mechanics. The first quantum cryptography protocol was proposed by C. Bennett and G. Brassard in 1984 [11] ...
PHYSICS 430 Lecture Notes on Quantum Mechanics
... be stationary. Let us therefore introduce a very important expression, crucial in both classical and quantum physics, which is known as the ”action” of the trajectory. The action is a function which depends on all the points {xn }, n = 0, 1, ..., N of the trajectory, and in this case it is S[{xi }] ...
... be stationary. Let us therefore introduce a very important expression, crucial in both classical and quantum physics, which is known as the ”action” of the trajectory. The action is a function which depends on all the points {xn }, n = 0, 1, ..., N of the trajectory, and in this case it is S[{xi }] ...
Non-relativistic limit in the 2+ 1 Dirac Oscillator: A Ramsey
... can be traced back to an exact Foldy-Wouthuysen transformation [5], and its special properties are related to a hidden supersymmetry [6]. Additionally, the positiveand negative-energy solutions are associated to supersymmetrical partners, which ensures the stability of the Dirac sea under the Dirac ...
... can be traced back to an exact Foldy-Wouthuysen transformation [5], and its special properties are related to a hidden supersymmetry [6]. Additionally, the positiveand negative-energy solutions are associated to supersymmetrical partners, which ensures the stability of the Dirac sea under the Dirac ...
Three problems from quantum optics
... transfer and protection against misuse. More specifically, quantum teleportation enables to transfer quantum information between stations where it cannot be be sent physically (i.e., that are not connected by a so-called quantum channel) [3, 5]. On the other hand, for protecting quantum information ...
... transfer and protection against misuse. More specifically, quantum teleportation enables to transfer quantum information between stations where it cannot be be sent physically (i.e., that are not connected by a so-called quantum channel) [3, 5]. On the other hand, for protecting quantum information ...
Quantum supergroups and canonical bases Sean Clark University of Virginia Dissertation Defense
... U̇ admits a π-signed canonical basis generalizing the basis for U− . For π = 1, this specializes to Lusztig’s canonical basis for U̇|π=1 . Idea of proof (generalizing Lusztig): Consider modules N(λ, λ0 ) → U̇1λ−λ0 as λ, λ0 → ∞. Define epimorphisms t : N(λ + λ00 , λ00 + λ0 ) → N(λ, λ0 ). ({N(λ, λ0 )} ...
... U̇ admits a π-signed canonical basis generalizing the basis for U− . For π = 1, this specializes to Lusztig’s canonical basis for U̇|π=1 . Idea of proof (generalizing Lusztig): Consider modules N(λ, λ0 ) → U̇1λ−λ0 as λ, λ0 → ∞. Define epimorphisms t : N(λ + λ00 , λ00 + λ0 ) → N(λ, λ0 ). ({N(λ, λ0 )} ...
Multiphoton localization and propagating quantum gap solitons in a
... may tunnel many wavelengths away from the atom before being reabsorbed, leading to nonMarkov memory effects [5] in collective light emission from many atoms. It was recently shown that an effective model [6] describing both isotropic PBG systems and frequency dispersive media (DM) [7] doped with res ...
... may tunnel many wavelengths away from the atom before being reabsorbed, leading to nonMarkov memory effects [5] in collective light emission from many atoms. It was recently shown that an effective model [6] describing both isotropic PBG systems and frequency dispersive media (DM) [7] doped with res ...
The Path Integral approach to Quantum Mechanics Lecture Notes
... • What adds up is the amplitude Φ and not the probability density itself. • The difference between classical and quantum composition of probabilities is given by the interference between classically distinct trajectories. In the standard approach to Quantum Mechanics, the probability amplitude is de ...
... • What adds up is the amplitude Φ and not the probability density itself. • The difference between classical and quantum composition of probabilities is given by the interference between classically distinct trajectories. In the standard approach to Quantum Mechanics, the probability amplitude is de ...
Imaging electrostatically confined Dirac fermions in graphene
... but reflects them at larger angles of incidence1,4,5 . In a potential well with circular symmetry, electrons with high angular momenta are obliquely incident on the barrier and are internally reflected, thus leading to particle confinement and the formation of quasibound quantum dot states7–12 . As ...
... but reflects them at larger angles of incidence1,4,5 . In a potential well with circular symmetry, electrons with high angular momenta are obliquely incident on the barrier and are internally reflected, thus leading to particle confinement and the formation of quasibound quantum dot states7–12 . As ...
Observations on Hyperplane: II. Dynamical Variables and
... observables at time, t = 0) would be a crazy way to do physics, said I! No it wouldn't, said he. Circumstances then intervened and the discussion ended, never to be resumed. I will here explain why I claimed it would be a crazy way to do physics. Why, in fact, it would be an impossible way to actual ...
... observables at time, t = 0) would be a crazy way to do physics, said I! No it wouldn't, said he. Circumstances then intervened and the discussion ended, never to be resumed. I will here explain why I claimed it would be a crazy way to do physics. Why, in fact, it would be an impossible way to actual ...
Plane Wave Propagation in Lossless Media
... E0+ e − jkz is a wave propagating in the + z direction. E0− e + jkz is a wave propagating in the − z direction. For the wave moving in +z direction, in a time of 1 second, the wave moves in 1 unit of distance (for example, meter). Then the speed of propagation is (1 m/1 s = 1ms-1). A similar result ...
... E0+ e − jkz is a wave propagating in the + z direction. E0− e + jkz is a wave propagating in the − z direction. For the wave moving in +z direction, in a time of 1 second, the wave moves in 1 unit of distance (for example, meter). Then the speed of propagation is (1 m/1 s = 1ms-1). A similar result ...
Spectral And Dynamical Properties Of Strongly Correlated Systems
... a complex quantum problem of bosons into a corresponding classical stochastic problem. The application of Quantum Monte Carlo methods to bosonic problems at the equilibrium is therefore a well consolidated achievement of modern computational physics. [36, 54] However, numerous problems have to be fa ...
... a complex quantum problem of bosons into a corresponding classical stochastic problem. The application of Quantum Monte Carlo methods to bosonic problems at the equilibrium is therefore a well consolidated achievement of modern computational physics. [36, 54] However, numerous problems have to be fa ...
Collected Scientific Papers - SN Bose National Centre for Basic
... in dividing the partition function by the factorial of the number of particles, thus condoning the Maxwell--Boltzmann statistics. The genuine need for a reexamination of the implications of the strict identity of the particles was not appreciated until Bose, three decades yet to be born. Elementary ...
... in dividing the partition function by the factorial of the number of particles, thus condoning the Maxwell--Boltzmann statistics. The genuine need for a reexamination of the implications of the strict identity of the particles was not appreciated until Bose, three decades yet to be born. Elementary ...
TE wave
... comprising two uniform plane waves均匀平面波 with the same propagation constant k . The propagating directions of the two plane waves are laid on the xzz plane. They are parallel to the broad a ② ① wall, and the two plane waves are combined into a plane wave taking a zigzag path between the two narro ...
... comprising two uniform plane waves均匀平面波 with the same propagation constant k . The propagating directions of the two plane waves are laid on the xzz plane. They are parallel to the broad a ② ① wall, and the two plane waves are combined into a plane wave taking a zigzag path between the two narro ...
Prime Factorization by Quantum Adiabatic Computation
... small systems with NMR-based techniques [32]. The driver Hamiltonian is usually an applied magnetic field which is gradually turned down as the system evolves towards the solution. The constantly decreasing magnetic field keeps the nuclear spins under control and counteracts spin-flips caused by the ...
... small systems with NMR-based techniques [32]. The driver Hamiltonian is usually an applied magnetic field which is gradually turned down as the system evolves towards the solution. The constantly decreasing magnetic field keeps the nuclear spins under control and counteracts spin-flips caused by the ...
Quantum computers - Quantum Engineering Group
... Before the invention of the laser we had technological advances in making light: fire, the lantern, the lightbulb. Until the laser, however, this light was always ‘incoherent’, meaning that the many electromagnetic waves generated by the source were emitted at completely random times with respect to ...
... Before the invention of the laser we had technological advances in making light: fire, the lantern, the lightbulb. Until the laser, however, this light was always ‘incoherent’, meaning that the many electromagnetic waves generated by the source were emitted at completely random times with respect to ...
Direct characterization of quantum dynamics
... fundamental relationship between QED and QPT, namely whether it is possible to completely characterize the quantum dynamics of arbitrary quantum systems using QED. And, providing the answer is affirmative, how the physical resources scale with system size. Moreover, one would like to understand whet ...
... fundamental relationship between QED and QPT, namely whether it is possible to completely characterize the quantum dynamics of arbitrary quantum systems using QED. And, providing the answer is affirmative, how the physical resources scale with system size. Moreover, one would like to understand whet ...
PHYSICS 673 Nonlinear and Quantum Optics
... two cases: the carrier wave propagating at the speed of light in vacuum and at the phase velocity determined by the medium’s index of refraction. Problem 1.6 Substitute Eqs. (1.18) into Eq. (1.9) and show that, under Eqs. (1.8) and (1.12), in the first nonvanishing order the equation for the evolutio ...
... two cases: the carrier wave propagating at the speed of light in vacuum and at the phase velocity determined by the medium’s index of refraction. Problem 1.6 Substitute Eqs. (1.18) into Eq. (1.9) and show that, under Eqs. (1.8) and (1.12), in the first nonvanishing order the equation for the evolutio ...
Universidad de Cantabria ON LIGHT SCATTERING BY NANOPARTICLES WITH CONVENTIONAL AND NON-CONVENTIONAL
... figure corresponds to a minimum in the forward scattering for an incident TE polarization. Several particle sizes are considered to analyze the evolution of that minimum with R. These minima are obtained searching the minimum of the scattered intensity (Equation (4.16)) in the forward direction for ...
... figure corresponds to a minimum in the forward scattering for an incident TE polarization. Several particle sizes are considered to analyze the evolution of that minimum with R. These minima are obtained searching the minimum of the scattered intensity (Equation (4.16)) in the forward direction for ...
Bohr–Einstein debates
The Bohr–Einstein debates were a series of public disputes about quantum mechanics between Albert Einstein and Niels Bohr. Their debates are remembered because of their importance to the philosophy of science. An account of the debates was written by Bohr in an article titled ""Discussions with Einsteinon Epistemological Problems in Atomic Physics"". Despite their differences of opinion regarding quantum mechanics, Bohr and Einstein had a mutual admiration that was to last the rest of their lives.The debates represent one of the highest points of scientific research in the first half of the twentieth century because it called attention to an element of quantum theory, quantum non-locality, which is absolutely central to our modern understanding of the physical world. The consensus view of professional physicists has been that Bohr proved victorious, and definitively established the fundamental probabilistic character of quantum measurement.