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The quantum state of a system of qubits can be represented by a Wigner function on a discrete phase space, each axis of the phase space taking values in a finite field. Within this framework, we show that one can make sense of the notion of…

Quantum Physics · Physics 2007-05-23 William K. Wootters , Daniel M. Sussman

Phase fluctuations in finite thickness layered superconducting films are studied theoretically. The model consists of a set of layers, coupled to each other via a gradient-like term in the phase-only action. It is shown that the effective…

Disordered Systems and Neural Networks · Physics 2010-12-23 Y. Dubi , R. R. Biswas , A. V. Balatsky

Surface Tamm states arise in one-dimensional lattices from some defects at the lattice edge and their energy generally falls in a gap of the crystal. The defects at the surface change rather generally the phase of propagative Bloch waves…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Stefano Longhi

The electronic states near a surface or a domain wall in the p-wave superconductor are studied for the order parameter of the form p_x\pm i p_y-wave, which is a unitary odd-parity state with broken time-reversal symmetry. This state has…

Superconductivity · Physics 2009-10-31 Masashige Matsumoto , Manfred Sigrist

We have discovered a new example of quantum spin liquid which is a superconducting (SC) phase in 2D electron system close to electronic topological transition. As a quantum spin liquid in low dimensional localized spin systems it is…

Superconductivity · Physics 2007-05-23 F. Onufrieva , P. Pfeuty

Present computations of the gap of color superconductivity in weak coupling assume that the quarks which participate in the condensation process are infinitely long-lived. However, the quasiparticles in a plasma are characterized by having…

High Energy Physics - Phenomenology · Physics 2009-10-31 Cristina Manuel

A d-wave superconductor, its phase coherence progressively destroyed by unbinding of vortex-antivortex pairs, suffers an instability related to chiral symmetry breaking in two-flavor QED$_3$. The chiral manifold exhibits large degeneracy…

Superconductivity · Physics 2007-05-23 Z. Tesanovic , O. Vafek , M. Franz

Finite-state transducers give efficient representations of many Natural Language phenomena. They allow to account for complex lexicon restrictions encountered, without involving the use of a large set of complex rules difficult to analyze.…

cmp-lg · Computer Science 2008-02-03 Mehryar Mohri

The energy bands and the global density of states are computed for superconductor / normal-metal superlattices in the clean limit. Dispersion relations are derived for the general case of insulating interfaces, including the mismatch of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Mihajlo Vanevic , Zoran Radovic

We calculate the local density of states (LDOS) of a superconductor-normal metal sandwich at arbitrary impurity concentration. The presence of the superconductor induces a gap in the normal metal spectrum that is proportional to the inverse…

Superconductivity · Physics 2009-10-31 S. Pilgram , W. Belzig , C. Bruder

We experimentally investigate a superconducting circuit composed of two flux qubits ultrastrongly coupled to a common LC resonator. Owing to the large anharmonicity of the flux qubits, the system can be described well by a generalized Dicke…

The BCS results for the superconducting gap $\Delta$ and $T_C$ are obtained from a one-particle model. Superconductivity appears when the electronic energy gains of the band structure surpass the energy needed for atomic vibrations or…

Superconductivity · Physics 2009-11-17 T. Jarlborg

A full quantum-mechanical treatment of the Bogoliubov-de Gennes equation for a single vortex in a d-wave superconductor is presented. First, we find low-energy states extended in four diagonal directions, which have no counterpart in a…

Superconductivity · Physics 2009-10-30 Y. Morita , M. Kohmoto , K. Maki

Quantum algorithms for estimating the ground state energy of a quantum system often operate by preparing a classically accessible quantum state and then applying quantum phase estimation. Whether this approach yields quantum advantage…

Quantum Physics · Physics 2026-02-25 Daochen Wang

The description of heteropairs like $^{40}$K-$^6$Li near and in the superconducting state requires a fully selfconsistent theory [see Hanai and Ohashi, Phys. Rev. A 90, 043622 (2014)]. We derive analytic pseudogap Green's functions for the…

Quantum Gases · Physics 2016-12-21 P. Lipavský , C. Berthod

We study the average density of states in a small metallic grain coupled to two superconductors with the phase difference $\pi$, in a magnetic field. The spectrum of the low-energy excitations in the grain is described by the random matrix…

Disordered Systems and Neural Networks · Physics 2012-10-11 V. A. Koziy , M. A. Skvortsov

Recent progress in experimental studies of low-dimensional systems with strong spin-orbit coupling poses a question on the effect of this coupling on the energy spectrum of electrons in semiconductor nanostructures. It is shown in the paper…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Emmanuel I. Rashba

We study formally and rigorously the bifurcation to steady and time-periodic states in a model for a thin superconducting wire in the presence of an imposed current. Exploiting the PT-symmetry of the equations at both the linearized and…

Mathematical Physics · Physics 2009-11-13 Jacob Rubinstein , Peter Sternberg , Kevin Zumbrun

The dephasing influence of a dissipative environment reduces linear superpositions of macroscopically distinct quantum states (sometimes also called Schr\"odinger cat states) usually almost immediately to a statistical mixture. This process…

Quantum Physics · Physics 2009-10-31 Daniel Braun , Petr A. Braun , Fritz Haake

We locate gaps in the spectrum of a Hamiltonian on a periodic cuboidal (and generally hyperrectangular) lattice graph with $\delta$ couplings in the vertices. We formulate sufficient conditions under which the number of gaps is finite. As…

Mathematical Physics · Physics 2020-05-26 Ondřej Turek