Degenerate Fermi Gases
... The only scales at unitarity are the Fermi energy and the temperature. The thermodynamic properties have an “universal” form. In particular at T=0 energy density, pressure, chemical potential are proportional to the ones of an ideal Fermi gas with a density equal to the superfluid one. The universal ...
... The only scales at unitarity are the Fermi energy and the temperature. The thermodynamic properties have an “universal” form. In particular at T=0 energy density, pressure, chemical potential are proportional to the ones of an ideal Fermi gas with a density equal to the superfluid one. The universal ...
Slides - GSI IndiCo
... • Periodic potential or disordered (Anderson localization) • Gauge field with rotation or geometrical phase • Non abelian Gauge field for simulating the Hamiltonian of strong interactions in particle physics ...
... • Periodic potential or disordered (Anderson localization) • Gauge field with rotation or geometrical phase • Non abelian Gauge field for simulating the Hamiltonian of strong interactions in particle physics ...
Semi-local Quantum Liquids
... The precise physical nature of the ground state will depend on specific dynamics of an individual system. The examples we have seen may be generic, i.e. SLQL may always be unstable to order into some lower energy phase. ...
... The precise physical nature of the ground state will depend on specific dynamics of an individual system. The examples we have seen may be generic, i.e. SLQL may always be unstable to order into some lower energy phase. ...
Non-Equilibrium Quantum Many-Body Systems: Universal Aspects
... M. Eckstein, M. Kollar and P. Werner, Phys. Rev. Lett. 103, 056403 (2009); Phys. Rev. B 81, 115131 (2010) Non-equilibrium DMFT with real time QMC for interaction quench in ...
... M. Eckstein, M. Kollar and P. Werner, Phys. Rev. Lett. 103, 056403 (2009); Phys. Rev. B 81, 115131 (2010) Non-equilibrium DMFT with real time QMC for interaction quench in ...
Lecture 9
... excitation with p > pF . (Remember, pF is not changed by interactions.) For p < p, no particles can be added to the noninteracting system, but a particle can be removed from p, σ to form an excited state (of the N − 1 particle system). Switching on the interaction now gives a quasihole state with mo ...
... excitation with p > pF . (Remember, pF is not changed by interactions.) For p < p, no particles can be added to the noninteracting system, but a particle can be removed from p, σ to form an excited state (of the N − 1 particle system). Switching on the interaction now gives a quasihole state with mo ...
Holographic Entanglement Entropy - Crete Center for Theoretical
... AdS/CFT is a very powerful method to understand strongly coupled condensed matter systems. Especially, the calculations become most tractable in the strong coupling and large N limit of gauge theories. In this limit, the AdS side is given by a classical gravity and we can naturally expect universal ...
... AdS/CFT is a very powerful method to understand strongly coupled condensed matter systems. Especially, the calculations become most tractable in the strong coupling and large N limit of gauge theories. In this limit, the AdS side is given by a classical gravity and we can naturally expect universal ...
Ultracold Atomic Gases
... Cooper pair is the name given to electrons that are bound together at low temperatures in a certain manner first described in 1956 by Leon Cooper.[1] Cooper showed that an arbitrarily small attraction between electrons in a metal can cause a paired state of electrons to have a lower energy than the ...
... Cooper pair is the name given to electrons that are bound together at low temperatures in a certain manner first described in 1956 by Leon Cooper.[1] Cooper showed that an arbitrarily small attraction between electrons in a metal can cause a paired state of electrons to have a lower energy than the ...
QUANTUM CLAUSTROPHOBIA
... To get around this loss of collisions, Jin and DeMarco ensured that their atoms were in a nearly equal blend of two slightly different magnetic states, called Zeeman states. The existence of two such states that can be simultaneously caught in a magnetic trap is another key attribute of potassium 40 ...
... To get around this loss of collisions, Jin and DeMarco ensured that their atoms were in a nearly equal blend of two slightly different magnetic states, called Zeeman states. The existence of two such states that can be simultaneously caught in a magnetic trap is another key attribute of potassium 40 ...
2008
... Using RF spectroscopy, we have studied pairing correlations in imbalanced Fermi gases and addressed the question what happens if we have fewer spin down than spin up fermions. Do the spin down fermions form pairs, leading to bimodal distribution of paired and unpaired majority atoms, or do minority ...
... Using RF spectroscopy, we have studied pairing correlations in imbalanced Fermi gases and addressed the question what happens if we have fewer spin down than spin up fermions. Do the spin down fermions form pairs, leading to bimodal distribution of paired and unpaired majority atoms, or do minority ...
Lecture 3 : ultracold Fermi Gases Lecture 3 : ultracold Fermi Gases
... We have measured the grand potential of a tunable Fermi gas S. Nascimbène et al., Nature, 463, 1057, (2010), arxiv 0911.0747 N. Navon et al., Science 328, 729 (2010) 1 NJP (2010) k/kk/k ...
... We have measured the grand potential of a tunable Fermi gas S. Nascimbène et al., Nature, 463, 1057, (2010), arxiv 0911.0747 N. Navon et al., Science 328, 729 (2010) 1 NJP (2010) k/kk/k ...
A FERMI SEA OF HEAVY ELECTRONS
... [6] is not the conventional Hilbert transform because the singularities of G cross the real axis at ω=0; but correspondingly A and B change sign at ω=0 and the integrand is normally nonsingular. This absence of singularity is only assured if A(0) =B(0), a requirement which is taken for granted in th ...
... [6] is not the conventional Hilbert transform because the singularities of G cross the real axis at ω=0; but correspondingly A and B change sign at ω=0 and the integrand is normally nonsingular. This absence of singularity is only assured if A(0) =B(0), a requirement which is taken for granted in th ...
Nuclear Phenomenology
... Fermi gas model. Assumptions • The potential that an individual nucleon feels is the superposition of the potentials of other nucleons. This potential has the shape of a sphere of radius R=R0A1/3 fm, equivalent to a 3-D square potential well with radius R • Nucleons move freely (like gas) inside th ...
... Fermi gas model. Assumptions • The potential that an individual nucleon feels is the superposition of the potentials of other nucleons. This potential has the shape of a sphere of radius R=R0A1/3 fm, equivalent to a 3-D square potential well with radius R • Nucleons move freely (like gas) inside th ...
Physics 4230 Set 2 Solutions Fall 1998 Fermi 2.1) Basic 1st Law of
... Calculate the energy variation of a system which performs 3.4x108 ergs of work and absorbs 32 calories of heat. So, the bottom line in this problem is whether you can remember the 1st Law and whether you get the signs right. 1st things first. The Law says that the internal energy of a system can cha ...
... Calculate the energy variation of a system which performs 3.4x108 ergs of work and absorbs 32 calories of heat. So, the bottom line in this problem is whether you can remember the 1st Law and whether you get the signs right. 1st things first. The Law says that the internal energy of a system can cha ...
3.4 Fermi liquid theory
... Landau Fermi liquid theory was introduced to describe low-energy degrees of freedom of a Fermi gas with interactions in a non-perturbative way (to complement the perturbative diagrammatic approach). It was originally introduced for 3 He, but can also be applied to electrons in metals. The main idea ...
... Landau Fermi liquid theory was introduced to describe low-energy degrees of freedom of a Fermi gas with interactions in a non-perturbative way (to complement the perturbative diagrammatic approach). It was originally introduced for 3 He, but can also be applied to electrons in metals. The main idea ...
SAMPLE midterm with solutions
... 7. Explain why the quantum Hall effect is robust. The quantum Hall effect is robust because it exists so long as there are edge states at opposite sides of the sample, which carry current in one direction only and are in separate equilibrium. The states on a single edge are chiral, that is, they pro ...
... 7. Explain why the quantum Hall effect is robust. The quantum Hall effect is robust because it exists so long as there are edge states at opposite sides of the sample, which carry current in one direction only and are in separate equilibrium. The states on a single edge are chiral, that is, they pro ...
0.1 Thermodynamic properties of the non
... which shows that at low temperatures, the heat capacity of a Fermi liquid varies linearly with temperature and is also proportional to the density of states at the Fermi level, regardless of the dimensionality or the atomic structure of the system. This result can also be explained using a simple co ...
... which shows that at low temperatures, the heat capacity of a Fermi liquid varies linearly with temperature and is also proportional to the density of states at the Fermi level, regardless of the dimensionality or the atomic structure of the system. This result can also be explained using a simple co ...
Ndengeyintwali: Fermi Surfaces and Their Geometries
... as if they were a liquid. The quasi-particles are described by the Fermi-Dirac statistics. A system of conduction electrons can be thought of as a Fermi liquid. If we assume that the potential of the metal lattice is the same everywhere, the Fermi liquid of conduction electrons is isotropic. The dis ...
... as if they were a liquid. The quasi-particles are described by the Fermi-Dirac statistics. A system of conduction electrons can be thought of as a Fermi liquid. If we assume that the potential of the metal lattice is the same everywhere, the Fermi liquid of conduction electrons is isotropic. The dis ...
pdf
... units and can collapse into the same quantum ground state in a process known as Bose-Einstein condensation (BEC). This process is at the heart of both superconductivity - the flow of electric current without resistance - and superfluidity. Fermions, on the other hand, have half-integer spins and obe ...
... units and can collapse into the same quantum ground state in a process known as Bose-Einstein condensation (BEC). This process is at the heart of both superconductivity - the flow of electric current without resistance - and superfluidity. Fermions, on the other hand, have half-integer spins and obe ...
Chapter 13 Ideal Fermi gas
... Ideal Fermi gas The properties of an ideal Fermi gas are strongly determined by the Pauli principle. We shall consider the limit: µ >> kB T ⇔ βµ >> 1, which defines the degenerate Fermi gas. In this limit, the quantum mechanical nature of the system becomes especially important, and the system has l ...
... Ideal Fermi gas The properties of an ideal Fermi gas are strongly determined by the Pauli principle. We shall consider the limit: µ >> kB T ⇔ βµ >> 1, which defines the degenerate Fermi gas. In this limit, the quantum mechanical nature of the system becomes especially important, and the system has l ...
pptx - University of Washington
... Extension of Kohn-Sham to superfluid fermionic systems: Superfluid Local Density Approximation (SLDA) The case of a unitary Fermi gas Why would one want to study this system? ...
... Extension of Kohn-Sham to superfluid fermionic systems: Superfluid Local Density Approximation (SLDA) The case of a unitary Fermi gas Why would one want to study this system? ...
TWO REMARKS ON THE THEORY OF THE FERMI GAS
... remark that the convergence properties of the “linked cluster series” c:i ...
... remark that the convergence properties of the “linked cluster series” c:i ...
Chapter 19: Fermi
... • To obtain these curves, we must determine μ(T) . The calculation is considerably more complicated than it was for T = 0. We have ...
... • To obtain these curves, we must determine μ(T) . The calculation is considerably more complicated than it was for T = 0. We have ...
Enrico Fermi
Enrico Fermi (Italian: [enˈriko ˈfermi]; 29 September 1901 – 28 November 1954) was an Italian physicist, who is credited with the creation of the first nuclear reactor, the Chicago Pile-1. He made significant contributions to the development of quantum theory, nuclear and particle physics, and statistical mechanics. He is one of the men referred to as the ""architect and father of the atomic bomb"". Fermi held several patents related to the use of nuclear power, and was awarded the 1938 Nobel Prize in Physics for his work on induced radioactivity by neutron bombardment and the discovery of transuranic elements. He was widely regarded as one of the very few physicists to excel both theoretically and experimentally.Fermi's first major contribution was to statistical mechanics. After Wolfgang Pauli announced his exclusion principle in 1925, Fermi followed with a paper in which he applied the principle to an ideal gas, employing a statistical formulation now known as Fermi–Dirac statistics. Today, particles that obey the exclusion principle are called ""fermions"". Later Pauli postulated the existence of an uncharged invisible particle emitted along with an electron during beta decay, to satisfy the law of conservation of energy. Fermi took up this idea, developing a model that incorporated the postulated particle, which he named the ""neutrino"". His theory, later referred to as Fermi's interaction and still later as weak interaction, described one of the four fundamental forces of nature. Through experiments inducing radioactivity with recently discovered neutrons, Fermi discovered that slow neutrons were more easily captured than fast ones, and developed the Fermi age equation to describe this. After bombarding thorium and uranium with slow neutrons, he concluded that he had created new elements; although he was awarded the Nobel Prize for this discovery, the new elements were subsequently revealed to be fission products.Fermi left Italy in 1938 to escape new Italian Racial Laws that affected his Jewish wife Laura. He emigrated to the United States where he worked on the Manhattan Project during World War II. Fermi led the team that designed and built Chicago Pile-1, which went critical on 2 December 1942, demonstrating the first artificial self-sustaining nuclear chain reaction. He was on hand when the X-10 Graphite Reactor at Oak Ridge, Tennessee, went critical in 1943, and when the B Reactor at the Hanford Site did so the next year. At Los Alamos he headed F Division, part of which worked on Edward Teller's thermonuclear ""Super"" bomb. He was present at the Trinity test on 16 July 1945, where he used his Fermi method to estimate the bomb's yield.After the war, Fermi served under J. Robert Oppenheimer on the influential General Advisory Committee, which advised the Atomic Energy Commission on nuclear matters and policy. Following the detonation of the first Soviet fission bomb in August 1949, he strongly opposed the development of a hydrogen bomb on both moral and technical grounds. He was among the scientists who testified on Oppenheimer's behalf at the 1954 hearing that resulted in the denial of the latter's security clearance. Fermi did important work in particle physics, especially related to pions and muons, and he speculated that cosmic rays arose through material being accelerated by magnetic fields in interstellar space. Many awards, concepts, and institutions are named after Fermi, including the Enrico Fermi Award, the Enrico Fermi Institute, the Fermi National Accelerator Laboratory, the Fermi Gamma-ray Space Telescope, the Enrico Fermi Nuclear Generating Station, and the synthetic element fermium (one of just over a dozen elements named after people).