Origin of the exponential decay of the Loschmidt echo in integrable
... well V (x) = V0 |x|α with any real positive α, including the harmonic oscillator, and the radial motion of an electron in the hydrogenlike atom. Furthermore, we only consider smooth perturbations that do not change the power series structure of the energy spectrum. In view of Eq. (6), the phase diff ...
... well V (x) = V0 |x|α with any real positive α, including the harmonic oscillator, and the radial motion of an electron in the hydrogenlike atom. Furthermore, we only consider smooth perturbations that do not change the power series structure of the energy spectrum. In view of Eq. (6), the phase diff ...
The Power of Quantum Advice
... local Hamiltonian H on poly(n,m,1/) qubits (e.g., a sum of 2qubit interactions) for which the following holds: For any ground state | of H, and any binary measurement E on performed by a circuit with ≤m gates, there’s an efficient measurement f(E) that we can perform on | such that ...
... local Hamiltonian H on poly(n,m,1/) qubits (e.g., a sum of 2qubit interactions) for which the following holds: For any ground state | of H, and any binary measurement E on performed by a circuit with ≤m gates, there’s an efficient measurement f(E) that we can perform on | such that ...
Lecture 4 - Purdue University Cytometry Laboratories
... • The rate of emission is dependent upon the time the molecule remains within the excitation state (the excited state lifetime f) • Optical saturation occurs when the rate of excitation exceeds the reciprocal of f • In a scanned image of 512 x 768 pixels (400,000 pixels) if scanned in 1 second req ...
... • The rate of emission is dependent upon the time the molecule remains within the excitation state (the excited state lifetime f) • Optical saturation occurs when the rate of excitation exceeds the reciprocal of f • In a scanned image of 512 x 768 pixels (400,000 pixels) if scanned in 1 second req ...
Physica E 6, 72 - Physics@Technion
... Our results suggest that at = 12 , due to strong coupling between charged modes on the edge and the neutral Fermions (dipoles) in the bulk, the (attractive) correlation hole is not well de ned on the edge. Hence, the system can be modeled as a free Fermi gas of electrons. Indeed, an experimental e ...
... Our results suggest that at = 12 , due to strong coupling between charged modes on the edge and the neutral Fermions (dipoles) in the bulk, the (attractive) correlation hole is not well de ned on the edge. Hence, the system can be modeled as a free Fermi gas of electrons. Indeed, an experimental e ...
AP PHYSICS B
... Define electrostatics and the Basic Law of Electrostatics. Explain the relationship between electrostatic force, charge value, and distance between charges. Calculate the electrostatic force given a system of charges using the principle of superposition. Relate the total of charges to the nu ...
... Define electrostatics and the Basic Law of Electrostatics. Explain the relationship between electrostatic force, charge value, and distance between charges. Calculate the electrostatic force given a system of charges using the principle of superposition. Relate the total of charges to the nu ...
PDF
... Quantum communication is carried out in the Fig. 1 configuration via the following protocol. The entire system is clocked. Time slots of signal and idler (say 400 ns long) are transmitted down optical fibers to the quantum memories. These slots are gated into the memory cavities—with their respective ...
... Quantum communication is carried out in the Fig. 1 configuration via the following protocol. The entire system is clocked. Time slots of signal and idler (say 400 ns long) are transmitted down optical fibers to the quantum memories. These slots are gated into the memory cavities—with their respective ...
Definition 1: Annihilation Operator Coherent State
... samples of rubidium, lithium and sodium atoms. At such low temperatures and high densities the atoms loose their individual identity and behave like a single macroscopic quantum state and the effect of quantum statistics becomes crucially important. Such ultra cold atomic ensembles are expected to h ...
... samples of rubidium, lithium and sodium atoms. At such low temperatures and high densities the atoms loose their individual identity and behave like a single macroscopic quantum state and the effect of quantum statistics becomes crucially important. Such ultra cold atomic ensembles are expected to h ...
Time dependence in quantum mechanics
... Abstract. It is shown that the time-dependent equations (Schrödinger and Dirac) for a quantum system can be derived from the time-independent equation for the larger object of the system interacting with its environment, in the limit that the dynamical variables of the environment can be treated se ...
... Abstract. It is shown that the time-dependent equations (Schrödinger and Dirac) for a quantum system can be derived from the time-independent equation for the larger object of the system interacting with its environment, in the limit that the dynamical variables of the environment can be treated se ...
THE PHOTOSYNTHETIC EFFICIENCY OF PHYCOCYANIN IN
... noted by several investigators (for example Tischer, 1938, and others cited by him). Unfortunately, in our work on Chroococcus not enough attention was devoted to the carotenoids to enable us to compare them with pigments isolated from related species by other investigators. ...
... noted by several investigators (for example Tischer, 1938, and others cited by him). Unfortunately, in our work on Chroococcus not enough attention was devoted to the carotenoids to enable us to compare them with pigments isolated from related species by other investigators. ...
The Structure of a Quantum World Jill North
... structure that isn’t really required) and consider the space-time structure needed to formulate the laws in this way. We then infer that this structure exists in a world governed by those laws. If the laws cannot be formulated without referring to some structure, then plausibly the structure must ex ...
... structure that isn’t really required) and consider the space-time structure needed to formulate the laws in this way. We then infer that this structure exists in a world governed by those laws. If the laws cannot be formulated without referring to some structure, then plausibly the structure must ex ...
Chapter 4: Crystal Lattice Dynamics
... ∂rnαi 2 ∂rnαi ∂rmβj The first two terms in the sum are zero; the first by definition, and the second is zero since it is the first derivative of a potential being evaluated at the equilibrium position. We will define the matrix Φmβj nαi ...
... ∂rnαi 2 ∂rnαi ∂rmβj The first two terms in the sum are zero; the first by definition, and the second is zero since it is the first derivative of a potential being evaluated at the equilibrium position. We will define the matrix Φmβj nαi ...
Ashtekar.pdf
... continuum at all scales of interest to physics under consideration. This assumption is reasonable for weak interactions. In the gravitational case, by contrast, the scale of interest is given by the Planck length Pl and there is no physical basis to pre-suppose that the continuum picture should be ...
... continuum at all scales of interest to physics under consideration. This assumption is reasonable for weak interactions. In the gravitational case, by contrast, the scale of interest is given by the Planck length Pl and there is no physical basis to pre-suppose that the continuum picture should be ...
Electron momentum spectroscopy study on valence electronic
... orbital with a higher angular momentum quantum number, such as f-like, g-like. If we expand the multi-center electronic wavefunction using the single center functions, the components with higher angular momentum quantum numbers will have significant weights for the ring or cage molecules with a high ...
... orbital with a higher angular momentum quantum number, such as f-like, g-like. If we expand the multi-center electronic wavefunction using the single center functions, the components with higher angular momentum quantum numbers will have significant weights for the ring or cage molecules with a high ...
Quantum field theory for matter under extreme conditions
... with χ(α) obvious analogues of φ(α) in Eq. (1.51). (This approach works because it is clear that there are two, and only two, linearly-independent solutions of the momentum space free-fermion Dirac equations, Eqs. (1.46), and, for the homogeneous equations, any two covariant solutions with the corr ...
... with χ(α) obvious analogues of φ(α) in Eq. (1.51). (This approach works because it is clear that there are two, and only two, linearly-independent solutions of the momentum space free-fermion Dirac equations, Eqs. (1.46), and, for the homogeneous equations, any two covariant solutions with the corr ...
practical conversion of zero-point energy
... rapidly dwindling. As shortages of oil and natural gas occur with more frequency, the “New Energy Crisis” is now heralded in the news media.1 However, an alternate source of energy that can replace fossil fuels has not been reliably demonstrated. A real need exists for a portable source of power tha ...
... rapidly dwindling. As shortages of oil and natural gas occur with more frequency, the “New Energy Crisis” is now heralded in the news media.1 However, an alternate source of energy that can replace fossil fuels has not been reliably demonstrated. A real need exists for a portable source of power tha ...
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 ...
Ultrafast Spectroscopy of Atomic and Molecular Quantum Dynamics Pia Johansson
... where the ck coefficients describe the excitation of the molecule from the initial state and can be determined by first order perturbation theory, and the sum ranges over k such that all stationary states excited by the ultrashort pulse are included [2]. This superposition of stationary eigenstates ...
... where the ck coefficients describe the excitation of the molecule from the initial state and can be determined by first order perturbation theory, and the sum ranges over k such that all stationary states excited by the ultrashort pulse are included [2]. This superposition of stationary eigenstates ...
Quantum Gravity and the Holographic Mass
... considerations alone. It then follows that the Schwarzschild solution to Einstein’s field th equations could have been developed in the late 19 Century by computation of tiling Planck quantities independent of spacetime curvature and singularities, near the time when Max Planck in 1899 derived his u ...
... considerations alone. It then follows that the Schwarzschild solution to Einstein’s field th equations could have been developed in the late 19 Century by computation of tiling Planck quantities independent of spacetime curvature and singularities, near the time when Max Planck in 1899 derived his u ...