A mean-field approach to attractive few
... solid state systems, cold atomic gases and so forth. Setting up the mathematical description for these problems can be quite straightforward, but actually solving them is difficult and a source of many open research questions. Broadly speaking, we could say that there are two edge cases that are mos ...
... solid state systems, cold atomic gases and so forth. Setting up the mathematical description for these problems can be quite straightforward, but actually solving them is difficult and a source of many open research questions. Broadly speaking, we could say that there are two edge cases that are mos ...
1203.3054v2
... into account. It has been claimed that modification of the quantum theory by introducing nonlinear time evolution for pure states [1, 2], might lead to superluminal communication [3–6]. In this work, we show that universal and symmetric 1-to-M cloning of qubits, can be performed without violating th ...
... into account. It has been claimed that modification of the quantum theory by introducing nonlinear time evolution for pure states [1, 2], might lead to superluminal communication [3–6]. In this work, we show that universal and symmetric 1-to-M cloning of qubits, can be performed without violating th ...
ibm_seminar - Stony Brook University
... Observed mesons and baryons are color-less combinations with ...
... Observed mesons and baryons are color-less combinations with ...
Paper
... where a is the s-wave scattering length and m the atomic mass, and we have used g (2) (r)5g (2) (R,R1r), assuming that g (2) (r 1 ,r 2 ) depends only on r 1 2r 2 . For a pure condensate, g (2) (0)51, and Eq. ~2! reduces to the normal expression for the mean field energy used in the nonlinear Schröd ...
... where a is the s-wave scattering length and m the atomic mass, and we have used g (2) (r)5g (2) (R,R1r), assuming that g (2) (r 1 ,r 2 ) depends only on r 1 2r 2 . For a pure condensate, g (2) (0)51, and Eq. ~2! reduces to the normal expression for the mean field energy used in the nonlinear Schröd ...
Electronic structure of rectangular quantum dots
... the localization of the electrons due to the dominant Coulomb interaction in the low-density limit. In our previous work,13 we found an agreement with their results for polygonal dots by using the spin-density-functional theory 共SDFT兲. We extended the examination to larger electron numbers, includin ...
... the localization of the electrons due to the dominant Coulomb interaction in the low-density limit. In our previous work,13 we found an agreement with their results for polygonal dots by using the spin-density-functional theory 共SDFT兲. We extended the examination to larger electron numbers, includin ...
Is the electron a photon with toroidal topology?
... We have a time evolution of a state containing, on the one hand, two charged spin-half leptons, and on the other uncharged bosons of helicity one. If it were not for the dierent nature of the states on the left and right side, this reaction would, if taken alone, seem to suggest that the leptons an ...
... We have a time evolution of a state containing, on the one hand, two charged spin-half leptons, and on the other uncharged bosons of helicity one. If it were not for the dierent nature of the states on the left and right side, this reaction would, if taken alone, seem to suggest that the leptons an ...
Electron spin and probability current density in quantum mechanics
... the particle is expanded to include its spin and it experiences the spin-orbit interaction. In addition to the spin-orbit contribution, there is another spin-dependent contribution that, curiously, seems to be independent of the Hamiltonian. There has been some discussion of this contribution in the ...
... the particle is expanded to include its spin and it experiences the spin-orbit interaction. In addition to the spin-orbit contribution, there is another spin-dependent contribution that, curiously, seems to be independent of the Hamiltonian. There has been some discussion of this contribution in the ...
Quantum Monte Carlo Methods Chapter 14
... where V (x,t) is a potential acting on the particle. The first term is the kinetic energy. The solution to this partial differential equation is the wave function Ψ (x,t). The wave function itself is not an observable (or physical quantity) but it serves to define the quantum mechanical probability, ...
... where V (x,t) is a potential acting on the particle. The first term is the kinetic energy. The solution to this partial differential equation is the wave function Ψ (x,t). The wave function itself is not an observable (or physical quantity) but it serves to define the quantum mechanical probability, ...
On Quantum Nonseparability - Philsci
... Let us now briefly consider the behaviour of the states of a compound system in classical statistical mechanics in relation to the aforementioned separability principle. In the statistical framework of classical mechanics, the states of a system are represented by probability measures μ(B), namely, ...
... Let us now briefly consider the behaviour of the states of a compound system in classical statistical mechanics in relation to the aforementioned separability principle. In the statistical framework of classical mechanics, the states of a system are represented by probability measures μ(B), namely, ...
An Atomic Source of Quantum Light - Institute for Quantum Science
... The black, dotted line shows the deviation of ηsq from 0.5, scaled by a factor of 10. The dip in the datum around 131◦ C was the result of accidental misalignment which was not noticed at the time of the experiment. . . . ...
... The black, dotted line shows the deviation of ηsq from 0.5, scaled by a factor of 10. The dip in the datum around 131◦ C was the result of accidental misalignment which was not noticed at the time of the experiment. . . . ...
Geometric phases and cyclic isotropic cosmologies
... history relies on several puzzling observational features. In fact, soon after the discovery of the Cosmological Microwave Background (CMB), theoretical physicists realized that the early universe had to follow a rapid expanding phase. Inflation was the first candidate for generating such expansion, ...
... history relies on several puzzling observational features. In fact, soon after the discovery of the Cosmological Microwave Background (CMB), theoretical physicists realized that the early universe had to follow a rapid expanding phase. Inflation was the first candidate for generating such expansion, ...
Chapter 33 Quantum Mechanics The Uncertainty Principle
... In the last chapter, we used an analysis of the two slit electron diffraction experiment to introduce the position-momentum form of the uncertainty principle. In this chapter we will use an experiment involving the analysis of a pulsed laser beam to introduce the time-energy form. Since the 1990s, i ...
... In the last chapter, we used an analysis of the two slit electron diffraction experiment to introduce the position-momentum form of the uncertainty principle. In this chapter we will use an experiment involving the analysis of a pulsed laser beam to introduce the time-energy form. Since the 1990s, i ...
Nonparametric estimation of the purity of a quantum state in
... Quantum mechanics is a fundamental branch of theoretical physics, in the sense that it provides accurate and precise descriptions for many phenomena on the atomic and subatomic level. In the formalism of quantum mechanics, the state of a system at a given time is described by a complex wave function ...
... Quantum mechanics is a fundamental branch of theoretical physics, in the sense that it provides accurate and precise descriptions for many phenomena on the atomic and subatomic level. In the formalism of quantum mechanics, the state of a system at a given time is described by a complex wave function ...
AJS_Paper1_FreeWill - Department of Mathematics
... elementary particle does not “decide” on the value of its spin in any direction until it is measured, making clear the fact that the spin is not predetermined and therefore unable to predict from previous data (Nagra). Next, Conway and Kochen consider the Einstein-PodolskyRosen paradox. The paradox ...
... elementary particle does not “decide” on the value of its spin in any direction until it is measured, making clear the fact that the spin is not predetermined and therefore unable to predict from previous data (Nagra). Next, Conway and Kochen consider the Einstein-PodolskyRosen paradox. The paradox ...
Path Integral studies of quantum systems at finite temperatures Sergei Dmitrievich Ivanov
... Appearence and fast development of computers in the middle of the twentieth century inspired a breakthrough in many branches of science. Currently, the scientific investigations in physics, chemistry and biology can not be imagined without computers. In particular, besides solving equations numerica ...
... Appearence and fast development of computers in the middle of the twentieth century inspired a breakthrough in many branches of science. Currently, the scientific investigations in physics, chemistry and biology can not be imagined without computers. In particular, besides solving equations numerica ...
Time propagation of extreme two-electron wavefunctions F Robicheaux
... two or three free electrons that interact in the continuum. Twenty years ago, this situation was intractable except when the electrons could be treated by perturbation theory. There are several methods that can now accurately compute total and differential cross sections in many situations. We canno ...
... two or three free electrons that interact in the continuum. Twenty years ago, this situation was intractable except when the electrons could be treated by perturbation theory. There are several methods that can now accurately compute total and differential cross sections in many situations. We canno ...
The weak-coupling limit of large classical and quantum systems
... cannot be satisfied anymore after the collision. Before discussing the propagation of chaos hypothesis, we first analyze the size of the collision operator. We remark that, in practical situations for a rarefied gas, the combination Nd 3 ≈ 10−4 cm3 (that is the volume occupied by the particles) is v ...
... cannot be satisfied anymore after the collision. Before discussing the propagation of chaos hypothesis, we first analyze the size of the collision operator. We remark that, in practical situations for a rarefied gas, the combination Nd 3 ≈ 10−4 cm3 (that is the volume occupied by the particles) is v ...
Testing the Dimension of Hilbert Spaces
... I which is not saturated by correlations coming from two qubits. This proves the existence of dimension witnesses for qubits with two-outcome measurements. Examples of qubit witnesses built from two-outcome measurements were recently found in [9]. We conjecture that two-outcome measurements may be s ...
... I which is not saturated by correlations coming from two qubits. This proves the existence of dimension witnesses for qubits with two-outcome measurements. Examples of qubit witnesses built from two-outcome measurements were recently found in [9]. We conjecture that two-outcome measurements may be s ...