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... The very notion of locality breaks down at the Planck scale. There is a fundamental length scale of the order of the Planck length (ℓp ∼ 10−35 m) that cannot be probed in a finite time. This reflects the fact that the spacetime manifold has a noncommutative, foamy structure at the very high energy l ...
... The very notion of locality breaks down at the Planck scale. There is a fundamental length scale of the order of the Planck length (ℓp ∼ 10−35 m) that cannot be probed in a finite time. This reflects the fact that the spacetime manifold has a noncommutative, foamy structure at the very high energy l ...
Optically polarized atoms
... Back to dipole transitions • Transition amplitude : < ψ2|d|ψ1> , where d=er is the dipole operator • For multi-electron atoms dipole operator is sum over electrons : d=Sidi • However, the operator changes at most one electron at a time, so for pure configurations, transitions are only allowed betw ...
... Back to dipole transitions • Transition amplitude : < ψ2|d|ψ1> , where d=er is the dipole operator • For multi-electron atoms dipole operator is sum over electrons : d=Sidi • However, the operator changes at most one electron at a time, so for pure configurations, transitions are only allowed betw ...
Long-Range Correlations in the Nonequilibrium Quantum Relaxation of a Spin... V 85, N 15
... this moment C̃L 共t兲 jumps to its maximum (see ii). After this, this signal is superposed by other more incoherent signals (see iii). However, the strongest initial signal is reflected at both boundaries and reaches the opposite boundary spins simultaneously again at time t 苷 3th 共L兲 (see iv), and so ...
... this moment C̃L 共t兲 jumps to its maximum (see ii). After this, this signal is superposed by other more incoherent signals (see iii). However, the strongest initial signal is reflected at both boundaries and reaches the opposite boundary spins simultaneously again at time t 苷 3th 共L兲 (see iv), and so ...
Aspects of quantum work - Physik Uni-Augsburg
... requirement that renders the two classically equivalent definitions (1) and (2) inequivalent [4,10]. Based on the energy difference definition (1) work can be determined by the two energy measurement approach [4,11,12] which employs two projective measurements of energy at the end and the beginning ...
... requirement that renders the two classically equivalent definitions (1) and (2) inequivalent [4,10]. Based on the energy difference definition (1) work can be determined by the two energy measurement approach [4,11,12] which employs two projective measurements of energy at the end and the beginning ...
Photonic realization of nonlocal memory effects and non
... Realistic quantum systems interact and exchange information with their surroundings. The engineering of the decoherence and the flow of information between an open quantum system and its environment has recently allowed, e.g., to drive quantum computation by dissipation [1], to control entanglement ...
... Realistic quantum systems interact and exchange information with their surroundings. The engineering of the decoherence and the flow of information between an open quantum system and its environment has recently allowed, e.g., to drive quantum computation by dissipation [1], to control entanglement ...
QUANTUM MATTERS What is the matter? Einstein`s
... into something that we are more familiar with—sets. The object x is completely characterized by the sets Hom(x,y). 1.2.2. Unitarity and Locality. In the sense above, all physical systems are quantum systems. Their theoretical models are ultimately established by a trial-and-error process from experi ...
... into something that we are more familiar with—sets. The object x is completely characterized by the sets Hom(x,y). 1.2.2. Unitarity and Locality. In the sense above, all physical systems are quantum systems. Their theoretical models are ultimately established by a trial-and-error process from experi ...
Hot gases: The transition from the line spectra to
... M. Nauenberg, “The evolution of radiation towards thermal equilibrium: A soluble model which illustrates the foundations of statistical mechanics,” Am. J. Phys. 72, 313–323 共2004兲. In this paper I assumed that the atoms are fixed, but the extension to randomly moving atoms in a thermal gas is straig ...
... M. Nauenberg, “The evolution of radiation towards thermal equilibrium: A soluble model which illustrates the foundations of statistical mechanics,” Am. J. Phys. 72, 313–323 共2004兲. In this paper I assumed that the atoms are fixed, but the extension to randomly moving atoms in a thermal gas is straig ...
Entangled Simultaneous Measurement and Elementary Particle Representations
... case measurements project the system to Bloch states corresponding to the measured spin components. Analogous simultaneous spin measurement schemes are found in Refs. [13]-[16]. Modified SternGerlach experiments, based on hamiltonian models for simultaneous spin measurement, are discussed in Ref. [1 ...
... case measurements project the system to Bloch states corresponding to the measured spin components. Analogous simultaneous spin measurement schemes are found in Refs. [13]-[16]. Modified SternGerlach experiments, based on hamiltonian models for simultaneous spin measurement, are discussed in Ref. [1 ...
quantum brownian motion and the third law of thermodynamics
... guarantees that states of thermal equilibrium exist which can be characterized by a temperature T . The first law provides a balance among the various contributions that make up the internal energy of a system while the second law introduces the concept of thermodynamic entropy S, which notably is e ...
... guarantees that states of thermal equilibrium exist which can be characterized by a temperature T . The first law provides a balance among the various contributions that make up the internal energy of a system while the second law introduces the concept of thermodynamic entropy S, which notably is e ...
Mathematical Foundations of Quantum Physics
... Heisenberg developed matrix mechanics and the austrian physicist Erwin Schrödinger invented wave mechanics and the non-relativistic Schrödinger equation. Subsequently Schrödinger showed that the two approaches were equivalent. Heisenberg formulated his uncertainty principle in 1927, and the Copen ...
... Heisenberg developed matrix mechanics and the austrian physicist Erwin Schrödinger invented wave mechanics and the non-relativistic Schrödinger equation. Subsequently Schrödinger showed that the two approaches were equivalent. Heisenberg formulated his uncertainty principle in 1927, and the Copen ...