
Nonparametric estimation of the purity of a quantum state in
... represented as a mixture (convex combination) of other states, i.e., if it is an extreme point of the convex set of states. All other states are called mixed states. The measurement technique of a quantum state is called Quantum Homodyne Tomography (QHT) and has been put in practice for the first tim ...
... represented as a mixture (convex combination) of other states, i.e., if it is an extreme point of the convex set of states. All other states are called mixed states. The measurement technique of a quantum state is called Quantum Homodyne Tomography (QHT) and has been put in practice for the first tim ...
Superfluid to insulator transition in a moving system of
... Introduction. Cold atoms in optical lattices. Superfluid to Mott transition. Dynamical instability Mean-field analysis using Gutzwiller variational wavefunctions Current decay by quantum tunneling Current decay by thermal activation ...
... Introduction. Cold atoms in optical lattices. Superfluid to Mott transition. Dynamical instability Mean-field analysis using Gutzwiller variational wavefunctions Current decay by quantum tunneling Current decay by thermal activation ...
Towards quantum template matching
... Although at the end of step 6 the amplitude of |yi in the state vector is the ‘phase-only correlation’ at y, in step 7 we are only sampling the probability distribution. Although the probability of observing y = a is larger than the probability of observing any other y value, it is still relatively ...
... Although at the end of step 6 the amplitude of |yi in the state vector is the ‘phase-only correlation’ at y, in step 7 we are only sampling the probability distribution. Although the probability of observing y = a is larger than the probability of observing any other y value, it is still relatively ...
Spinons and triplons in spatially anisotropic frustrated antiferromagnets ARTICLES MASANORI KOHNO
... insignificant. The spectral tail for some directions in momentum space is well fitted by a power-law form14,15 . Following this observation, numerous theories have attributed the behaviour to fractionalized excitations of exotic 2D critical and/or spin-liquid states21–26 . Other studies have compare ...
... insignificant. The spectral tail for some directions in momentum space is well fitted by a power-law form14,15 . Following this observation, numerous theories have attributed the behaviour to fractionalized excitations of exotic 2D critical and/or spin-liquid states21–26 . Other studies have compare ...
Niels Bohr`s discussions with Albert Einstein, Werner
... obtained by redundancy in determination, i.e., more equations than unknowns. The latter had been his hope in his formulation of the equations of general relativity theory; there the equations had seemed to be overdetermined, and Einstein had hoped that he could bring in the quantum phenomena (discon ...
... obtained by redundancy in determination, i.e., more equations than unknowns. The latter had been his hope in his formulation of the equations of general relativity theory; there the equations had seemed to be overdetermined, and Einstein had hoped that he could bring in the quantum phenomena (discon ...
Case 2 - Nikhef
... If you watch half the time; you only get the interference for the cases you did not watch. It requires an observation to let the quantum wave function “collapse” into reality. As long as no measurement is made the wave function keeps “all options open”. ...
... If you watch half the time; you only get the interference for the cases you did not watch. It requires an observation to let the quantum wave function “collapse” into reality. As long as no measurement is made the wave function keeps “all options open”. ...
PDF
... it is not possible to measure position and momentum simultaneously. Therefore there is no way to directly verify the presence of these trajectories so why introduce them in the ...
... it is not possible to measure position and momentum simultaneously. Therefore there is no way to directly verify the presence of these trajectories so why introduce them in the ...
PPT
... The uncertainty principle does not say “everything is uncertain”. Rather, it tells us what the limits of uncertainty are when we make measurements of quantum systems. ...
... The uncertainty principle does not say “everything is uncertain”. Rather, it tells us what the limits of uncertainty are when we make measurements of quantum systems. ...
Lieb-Robinson Bounds and the Speed of Light from
... the underlying spin model. A theory of light as an emergent phenomenon needs to explain why we do not see signals faster than light. In this Letter, we exploit the Lieb-Robinson bounds to show that the maximum speed of the interactions is of the same order of magnitude as the speed c of emerging lig ...
... the underlying spin model. A theory of light as an emergent phenomenon needs to explain why we do not see signals faster than light. In this Letter, we exploit the Lieb-Robinson bounds to show that the maximum speed of the interactions is of the same order of magnitude as the speed c of emerging lig ...
Turing Machine
... Turing in 1936 in order to address Hilbert's Entscheidungsproblem. It is sufficiently simple so that various mathematical theorems can be proven about it. In particular by using this model Turing was able to show that the Entscheidungsproblem must be answered in negative, i.e., there is no mechanica ...
... Turing in 1936 in order to address Hilbert's Entscheidungsproblem. It is sufficiently simple so that various mathematical theorems can be proven about it. In particular by using this model Turing was able to show that the Entscheidungsproblem must be answered in negative, i.e., there is no mechanica ...
Max Born

Max Born (German: [bɔɐ̯n]; 11 December 1882 – 5 January 1970) was a German physicist and mathematician who was instrumental in the development of quantum mechanics. He also made contributions to solid-state physics and optics and supervised the work of a number of notable physicists in the 1920s and 30s. Born won the 1954 Nobel Prize in Physics for his ""fundamental research in Quantum Mechanics, especially in the statistical interpretation of the wave function"".Born was born in 1882 in Breslau, then in Germany, now in Poland and known as Wrocław. He entered the University of Göttingen in 1904, where he found the three renowned mathematicians, Felix Klein, David Hilbert and Hermann Minkowski. He wrote his Ph.D. thesis on the subject of ""Stability of Elastica in a Plane and Space"", winning the University's Philosophy Faculty Prize. In 1905, he began researching special relativity with Minkowski, and subsequently wrote his habilitation thesis on the Thomson model of the atom. A chance meeting with Fritz Haber in Berlin in 1918 led to discussion of the manner in which an ionic compound is formed when a metal reacts with a halogen, which is today known as the Born–Haber cycle.In the First World War after originally being placed as a radio operator, due to his specialist knowledge he was moved to research duties regarding sound ranging. In 1921, Born returned to Göttingen, arranging another chair for his long-time friend and colleague James Franck. Under Born, Göttingen became one of the world's foremost centres for physics. In 1925, Born and Werner Heisenberg formulated the matrix mechanics representation of quantum mechanics. The following year, he formulated the now-standard interpretation of the probability density function for ψ*ψ in the Schrödinger equation, for which he was awarded the Nobel Prize in 1954. His influence extended far beyond his own research. Max Delbrück, Siegfried Flügge, Friedrich Hund, Pascual Jordan, Maria Goeppert-Mayer, Lothar Wolfgang Nordheim, Robert Oppenheimer, and Victor Weisskopf all received their Ph.D. degrees under Born at Göttingen, and his assistants included Enrico Fermi, Werner Heisenberg, Gerhard Herzberg, Friedrich Hund, Pascual Jordan, Wolfgang Pauli, Léon Rosenfeld, Edward Teller, and Eugene Wigner.In January 1933, the Nazi Party came to power in Germany, and Born, who was Jewish, was suspended. He emigrated to Britain, where he took a job at St John's College, Cambridge, and wrote a popular science book, The Restless Universe, as well as Atomic Physics, which soon became a standard text book. In October 1936, he became the Tait Professor of Natural Philosophy at the University of Edinburgh, where, working with German-born assistants E. Walter Kellermann and Klaus Fuchs, he continued his research into physics. Max Born became a naturalised British subject on 31 August 1939, one day before World War II broke out in Europe. He remained at Edinburgh until 1952. He retired to Bad Pyrmont, in West Germany. He died in hospital in Göttingen on 5 January 1970.