Quantum Galvanometer by Interfacing a Vibrating Nanowire and
... ABSTRACT: We evaluate the coupling of a Bose−Einstein condensate (BEC) of ultracold, paramagnetic atoms to the magnetic field of the current in a mechanically vibrating carbon nanotube within the frame of a full quantum theory. We find that the interaction is strong enough to sense quantum features ...
... ABSTRACT: We evaluate the coupling of a Bose−Einstein condensate (BEC) of ultracold, paramagnetic atoms to the magnetic field of the current in a mechanically vibrating carbon nanotube within the frame of a full quantum theory. We find that the interaction is strong enough to sense quantum features ...
BASIC IDEAS of QUANTUM MECHANICS I. QUANTUM STATES
... ”variables”, and the way that these influence each other (ie., ’interact with’ each other). Another name for ’variables’ is ’coordinates’. Both of these terms simply refer to the quantitative expression of the values of each of the degrees of freedom of the system. We call the variables ’microscopic ...
... ”variables”, and the way that these influence each other (ie., ’interact with’ each other). Another name for ’variables’ is ’coordinates’. Both of these terms simply refer to the quantitative expression of the values of each of the degrees of freedom of the system. We call the variables ’microscopic ...
A Golden-Thompson inequality in supersymmetric quantum
... partition function of a system does not exceed its classical partition function. A generalization of this inequality to systems in external magnetic fields was established in [1]. Apart from its usefulness in studying the classical limit of a quantum system, the Golden Thompson bound provides a usef ...
... partition function of a system does not exceed its classical partition function. A generalization of this inequality to systems in external magnetic fields was established in [1]. Apart from its usefulness in studying the classical limit of a quantum system, the Golden Thompson bound provides a usef ...
Temporal Multimode Storage of Entangled Photon Pairs
... QM. In the data analysis, the delay between two pairs is bounded by the storage time τM ¼ 50 ns. Hence, we only consider the overall range delimited by two dotted vertical lines on Fig. 3(b). Importantly, by comparing the histograms corresponding to different delays between photon pairs, we see that ...
... QM. In the data analysis, the delay between two pairs is bounded by the storage time τM ¼ 50 ns. Hence, we only consider the overall range delimited by two dotted vertical lines on Fig. 3(b). Importantly, by comparing the histograms corresponding to different delays between photon pairs, we see that ...
Advantages of Probability Amplitude Over Probability Density in
... most fundamental law of nature. For instance, Wheeler asked “Why the quantum?" and discussed the relation between QM and information theory (Wheeler, 1990, 1991). In this report we attempt to answer the same question from Wheeler’s point of view. One of the most essential differences between quantum ...
... most fundamental law of nature. For instance, Wheeler asked “Why the quantum?" and discussed the relation between QM and information theory (Wheeler, 1990, 1991). In this report we attempt to answer the same question from Wheeler’s point of view. One of the most essential differences between quantum ...
Higher Spin Theories and Holography
... may hope that due to the infinite dimensional gauge symmetry, it could perhaps define a fully consistent, finite model of quantum gravity. • Maybe describing a highly symmetric phase of space-time (early universe?). Would need to understand how to break the higher spin symmetries. ...
... may hope that due to the infinite dimensional gauge symmetry, it could perhaps define a fully consistent, finite model of quantum gravity. • Maybe describing a highly symmetric phase of space-time (early universe?). Would need to understand how to break the higher spin symmetries. ...
On Quantum vs. Classical Communication Complexity
... Shared randomness and shared entanglement All communication models that we have seen can be “augmented” by allowing Alice and Bob (but not the referee) to use shared randomness, or even shared entanglement. Shared randomness matters only in the SMP regime, as O(log n) shared random bits are always s ...
... Shared randomness and shared entanglement All communication models that we have seen can be “augmented” by allowing Alice and Bob (but not the referee) to use shared randomness, or even shared entanglement. Shared randomness matters only in the SMP regime, as O(log n) shared random bits are always s ...
Quantum Phenomena Modeled by Interactions between Many
... theorem and rate of wave packet spreading, will be seen to hold precisely for any number of worlds, other predictions can be accurately recovered only under certain conditions in the limit N → ∞. This has two immediate implications: the possibility of experimental predictions different from standard ...
... theorem and rate of wave packet spreading, will be seen to hold precisely for any number of worlds, other predictions can be accurately recovered only under certain conditions in the limit N → ∞. This has two immediate implications: the possibility of experimental predictions different from standard ...
Methods of Statistical Spectroscopy as an Optimization
... In the traditional approach, spectral properties of atoms and molecules are determined using quantum chemical methods. In this approach individual energy levels and the appropriate transition probabilities are evaluated with a high precision but even for a few energy levels the computational effort ...
... In the traditional approach, spectral properties of atoms and molecules are determined using quantum chemical methods. In this approach individual energy levels and the appropriate transition probabilities are evaluated with a high precision but even for a few energy levels the computational effort ...
The Aharonov-Bohm-Effect - Karl-Franzens
... Electromagnetic Potentials in the Quantum Theory". They predicted that elec~ might be real physical quantities and that this tromagnetic potentials φ and A could be shown in electron interference experiments. [1] The AB-Effect is merely a phenomenon of quantum mechanics, which is described by the Ha ...
... Electromagnetic Potentials in the Quantum Theory". They predicted that elec~ might be real physical quantities and that this tromagnetic potentials φ and A could be shown in electron interference experiments. [1] The AB-Effect is merely a phenomenon of quantum mechanics, which is described by the Ha ...
gaussian wavepackets
... quantum world, under certain circumstances, appears classical” for ultimately the same reason that experiments repeated many times over can be expected to yield results of high accuracy, and that the statistical properties of thermalized systems are so sharp as to become susceptible to analysis by t ...
... quantum world, under certain circumstances, appears classical” for ultimately the same reason that experiments repeated many times over can be expected to yield results of high accuracy, and that the statistical properties of thermalized systems are so sharp as to become susceptible to analysis by t ...
Complexity Limitations on Quantum Computation 1 Introduction
... We have seen a surge in interest in quantum computation over the past few years. This interest comes from new and good theoretical models for quantum Turing machines [BV97] and surprising algorithms for factoring [Sho97] and searching [Gro96]. Exactly how much can we accomplish with quantum computer ...
... We have seen a surge in interest in quantum computation over the past few years. This interest comes from new and good theoretical models for quantum Turing machines [BV97] and surprising algorithms for factoring [Sho97] and searching [Gro96]. Exactly how much can we accomplish with quantum computer ...
Symmetry and statistics
... As is well known (see Chapter 14), such a form is dictated by the requirement that it should be possible to re-parametrize the electron wave function by an arbitrary phase factor, with time- and space-dependent phase f (r, t), as ψ(r, t) → ei f (r,t) ψ(r, t). Even the necessity of the existence of t ...
... As is well known (see Chapter 14), such a form is dictated by the requirement that it should be possible to re-parametrize the electron wave function by an arbitrary phase factor, with time- and space-dependent phase f (r, t), as ψ(r, t) → ei f (r,t) ψ(r, t). Even the necessity of the existence of t ...
Unified Treatment of Quantum Fluctuation Theorem and Jarzynski
... as entropy production in the sense of [1], namely ∆S ≡ −kB log ρf + kB log ρi − TQB . Here, ρi/f is probability density of initial/final times, Q is the heat transferred into the system from the heat bath, TB is the temperature of the heat bath. In comparison to the diagonal representation of von Ne ...
... as entropy production in the sense of [1], namely ∆S ≡ −kB log ρf + kB log ρi − TQB . Here, ρi/f is probability density of initial/final times, Q is the heat transferred into the system from the heat bath, TB is the temperature of the heat bath. In comparison to the diagonal representation of von Ne ...
Quantum Numbers, Orbitals, and Probability Patterns
... in this atom. Keep in mind that this image represents an atom with a single electron. The dots do not represent different electrons; the dots are positions where the single electron can be found at different times. From this image, it is clear that the electron spends more time near the nucleus than ...
... in this atom. Keep in mind that this image represents an atom with a single electron. The dots do not represent different electrons; the dots are positions where the single electron can be found at different times. From this image, it is clear that the electron spends more time near the nucleus than ...
Hot gases: The transition from the line spectra to
... 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 straightforward along the lines indicated here. ...
... 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 straightforward along the lines indicated here. ...
Spectral Analysis of Nonrelativistic Quantum Electrodynamics
... (4.) Positive Temperatures. To study the systems under consideration for nonzero temperature, given that the Hamiltonian and its spectral properties describe the dynamics of the system at zero temperature. → See theorem 6.1, below. (5.) Feshbach Renormalization Map. To develop a renormalization grou ...
... (4.) Positive Temperatures. To study the systems under consideration for nonzero temperature, given that the Hamiltonian and its spectral properties describe the dynamics of the system at zero temperature. → See theorem 6.1, below. (5.) Feshbach Renormalization Map. To develop a renormalization grou ...
Realization of a Knill-Laflamme-Milburn controlled
... which flips the state of the polarisation of the ‘target’ photon conditional on the ‘control’ photon being horizontally polarized (the logical ‘1’ state). The gate is capable of generating maximally entangled two-qubit states, which together with one-qubit rotations provide a universal set of logic ...
... which flips the state of the polarisation of the ‘target’ photon conditional on the ‘control’ photon being horizontally polarized (the logical ‘1’ state). The gate is capable of generating maximally entangled two-qubit states, which together with one-qubit rotations provide a universal set of logic ...
Angle Matrix Elements
... where r̂ denotes the set of coordinates θ, φ giving the direction of the unit vector r̂ = r/r is not well known. The version given here is from Jackson, Classical Electrodynamics, 2nd Ed., Eq. (3.70). The whole point of this formula is to separate the variables of particle 1 from the variables of pa ...
... where r̂ denotes the set of coordinates θ, φ giving the direction of the unit vector r̂ = r/r is not well known. The version given here is from Jackson, Classical Electrodynamics, 2nd Ed., Eq. (3.70). The whole point of this formula is to separate the variables of particle 1 from the variables of pa ...