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Entanglement spectrum of a random partition: Connection with the
Entanglement spectrum of a random partition: Connection with the

... gram as a function of probability p, finding agreement with the physical phase diagram of a disordered superconductor [16]. We begin by considering a translationally invariant topological state, which can be either a topological insulator or superconductor or a bosonic symmetry-protected topological ...
Implementation of a quantum algorithm on a nuclear magnetic
Implementation of a quantum algorithm on a nuclear magnetic

Short-Lived Lattice Quasiparticles for Strongly Interacting Fluids
Short-Lived Lattice Quasiparticles for Strongly Interacting Fluids

Physics 139B Solutions to Homework Set 4 Fall 2009 1. Liboff
Physics 139B Solutions to Homework Set 4 Fall 2009 1. Liboff

... the perturbation changes is of order the natural time scale of the system. The probability of a transition from the ground state to the first excited state is nonnegligible. However, keep in mind that if P0→1 must still be small as compared to 1 if the perturbation theory result is to be reliable. I ...
5.1 Revising the Atomic Model
5.1 Revising the Atomic Model

... the allowed energies an electron can have and how likely it is to find the electron in various locations around the nucleus of an atom. Each energy sublevel corresponds to one or more orbitals of different shapes, which describe where the electron is likely to be ...
The discretized Schrodinger equation and simple models for
The discretized Schrodinger equation and simple models for

... It is our assertion that the answer to this question is a resounding ‘no’. In the first place, when applied to semiconductor quantum wells the continuous one-dimensional Schrödinger equation is actually an equation of motion for the wavefunction envelope. As such its solutions are meaningless at le ...
Reciprocal Lattice
Reciprocal Lattice

... manifestation of enhancement of quantum-mechanical elementary processes by constructive interference of the amplitudes. At this point, it is very instructive to discuss the role of quantumness, which is actually two-fold: (i) the quantumness of the incident particle and (ii) the quantumness of the c ...
Electronic quasiparticles in the quantum dimer model: density matrix
Electronic quasiparticles in the quantum dimer model: density matrix

... without the constraint because we do not add any additional terms to the Hamiltonian. However, we have to choose an optimal value for the V/J. We adopt the latter method since moving away from the fine-tuned RK point is beneficial for us, and in all of our calculations, we have used V = 0.9J. The co ...
Advancing Large Scale Many-Body QMC Simulations on GPU
Advancing Large Scale Many-Body QMC Simulations on GPU

Paper
Paper

... To understand the measured revival decay, we have numerically studied the one-dimensional Gross-Pitaevskii equation that assumes interacting matter waves at zero temperature. The simulations show that interactions and finite size effects have a negligible effect on the decay of revivals. Empirically ...
Topological insulator with time
Topological insulator with time

... H = HNN + HNNN =   ak † bk †  ...
Document
Document

... (That is, imagine a quantum system in thermal contact with a very large heat reservoir at constant temperature T ) Statistical mechanics states that the probability Prob(n) that the system is in an energy eigenstate n with energy En is given as: 1 − En Prob(n) = e kT . Z Here, the normalization fact ...
Lecture Notes
Lecture Notes

Hybrid opto-mechanical systems with nitrogen
Hybrid opto-mechanical systems with nitrogen

... glass spheres by an upward-propagating laser beam in both air and vacuum was demonstrated [8]. The optical tweezers now is widely used in atomic physics, chemistry and biology. Recent years, we witness great developments of optomechanics [9–11]. We have achieved the quantum ground state of macroscop ...
Modeling Magnetic Torque and Force, J. Abbott
Modeling Magnetic Torque and Force, J. Abbott

Three Dimensional View of the SYK/AdS Duality
Three Dimensional View of the SYK/AdS Duality

... Maldacena for discussions about this point. ...
ppt - Harvard Condensed Matter Theory group
ppt - Harvard Condensed Matter Theory group

Tonks–Girardeau gas of ultracold atoms in an optical lattice
Tonks–Girardeau gas of ultracold atoms in an optical lattice

Physics of Projected Wavefunctions
Physics of Projected Wavefunctions

... Up to now, we have discussed the physics of the Hubbard model only exactly on the axes in a (1 - n) versus t/U phase diagram. We now take a look at the whole phase diagram. Concretely, we consider H,, on the two-dim square lattice with n.n. interactions only. At finite temperature, long range magnet ...
Phases of correlated spinless fermions on the honeycomb lattice
Phases of correlated spinless fermions on the honeycomb lattice

... at small but finite values of t2 , but between different ground-state momentum sectors (indicated by open circles). Moreover, the ground state in this regime is doubly degenerate with momenta ±K, as opposed to the nondegenerate ground state with momentum Γ that exists for V2 /t outside [2, 2.5].46 T ...
Pdf - Text of NPTEL IIT Video Lectures
Pdf - Text of NPTEL IIT Video Lectures

Paired states of fermions in two dimensions with breaking of parity
Paired states of fermions in two dimensions with breaking of parity

... Not long after BCS, the theory was generalized to nonzero relative angular momentum (l) pairing, and after a long search, p-wave pairing was observed in He3 [3]. It is believed that d-wave pairing occurs in heavy fermion and high Tc superconductors. Some nonzero l paired states generally have vanish ...
Full Text PDF
Full Text PDF

... We investigate the phase diagrams of the spin-orbital d9 KugelKhomskii model for increasing system dimensionality: from the square lattice monolayer, via the bilayer to the cubic lattice. In each case we nd strong competition between dierent types of spin and orbital order, with entangled spinor ...
ppt - QEC14
ppt - QEC14

... commonplace (CNOT to ancillas, then measure) to the more recondite (direct parity measurement, intrinsic leakage of DFS qubits). I will give some examples from current work in quantum-dot qubits. Mighty efforts are underway to improve laboratory fidelities, which are however neither quantitatively n ...
Modified Weak Energy Condition for the Energy Momentum Tensor
Modified Weak Energy Condition for the Energy Momentum Tensor

... there is no inherent contradiction in making this assumption with the basic principles of ...
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Ising model

The Ising model (/ˈaɪsɪŋ/; German: [ˈiːzɪŋ]), named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic spins that can be in one of two states (+1 or −1). The spins are arranged in a graph, usually a lattice, allowing each spin to interact with its neighbors. The model allows the identification of phase transitions, as a simplified model of reality. The two-dimensional square-lattice Ising model is one of the simplest statistical models to show a phase transition.The Ising model was invented by the physicist Wilhelm Lenz (1920), who gave it as a problem to his student Ernst Ising. The one-dimensional Ising model has no phase transition and was solved by Ising (1925) himself in his 1924 thesis. The two-dimensional square lattice Ising model is much harder, and was given an analytic description much later, by Lars Onsager (1944). It is usually solved by a transfer-matrix method, although there exist different approaches, more related to quantum field theory.In dimensions greater than four, the phase transition of the Ising model is described by mean field theory.
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