scholarly journals Confinement of fractional quantum number particles in a condensed-matter system

2009 ◽  
Vol 6 (1) ◽  
pp. 50-55 ◽  
Author(s):  
Bella Lake ◽  
Alexei M. Tsvelik ◽  
Susanne Notbohm ◽  
D. Alan Tennant ◽  
Toby G. Perring ◽  
...  
Keyword(s):  
Quantum Number ◽  
Condensed Matter ◽  
Fractional Quantum ◽  
Condensed Matter System ◽  
Matter System

Curvature Determination of Spinodal Interface in a Condensed Matter System

1997 ◽  
Vol 78 (11) ◽  
pp. 2248-2251 ◽  
Author(s):  
Hiroshi Jinnai ◽  
Tsuyoshi Koga ◽  
Yukihiro Nishikawa ◽  
Takeji Hashimoto ◽  
Stephen T. Hyde
Keyword(s):  
Condensed Matter ◽  
Condensed Matter System ◽  
Matter System

scholarly journals Test of the unitary coupled-cluster variational quantum eigensolver for a simple strongly correlated condensed-matter system

2020 ◽  
Vol 34 (19n20) ◽  
pp. 2040049
Author(s):  
Luogen Xu ◽  
J. T. Lee ◽  
J. K. Freericks
Keyword(s):  
Condensed Matter ◽  
Quantum Circuit ◽  
Coupled Cluster ◽  
Quantum Computers ◽  
Strongly Correlated ◽  
Intermediate Scale ◽  
Condensed Matter System ◽  
Matter System ◽  
Nontrivial Behavior ◽  
Half Filling

The variational quantum eigensolver has been proposed as a low-depth quantum circuit that can be employed to examine strongly correlated systems on today’s noisy intermediate-scale quantum computers. We examine details associated with the factorized form of the unitary coupled-cluster variant of this algorithm. We apply it to a simple strongly correlated condensed-matter system with nontrivial behavior — the four-site Hubbard model at half-filling. This work show some of the subtle issues one needs to take into account when applying this algorithm in practice, especially to condensed-matter systems.

Consequences of a fiber bundle description of a lattice system

2019 ◽  
Vol 35 (02) ◽  
pp. 1950352 ◽  
Author(s):  
Siddhartha Sen ◽  
Kumar S. Gupta
Keyword(s):  
Brillouin Zone ◽  
Fiber Bundle ◽  
Condensed Matter ◽  
Tight Binding ◽  
Lattice System ◽  
Periodic Lattice ◽  
Lattice Structures ◽  
Condensed Matter System ◽  
Matter System

Some observable consequences that follow from a fiber bundle description of a tight binding condensed matter system on a lattice are described. The geometrical picture can be extended to describe non-periodic lattice structures, where a single Brillouin zone is predicted.

Curvature distributions of spinodal interface in a condensed matter system

1999 ◽  
Vol 59 (3) ◽  
pp. R2554-R2557 ◽  
Author(s):  
Hiroshi Jinnai ◽  
Yukihiro Nishikawa ◽  
Takeji Hashimoto
Keyword(s):  
Condensed Matter ◽  
Condensed Matter System ◽  
Matter System

PROBING BOSE-EINSTEIN CONDENSATES WITH OPTICAL BRAGG SCATTERING

2001 ◽  
Vol 15 (10n11) ◽  
pp. 1621-1640 ◽  
Author(s):  
D. M. STAMPER-KURN ◽  
A. P. CHIKKATUR ◽  
A. GÖRLITZ ◽  
S. GUPTA ◽  
S. INOUYE ◽  
...  
Keyword(s):  
Light Scattering ◽  
Atomic Physics ◽  
Coherence Length ◽  
Condensed Matter ◽  
Bragg Scattering ◽  
Many Body ◽  
Optical Tools ◽  
Matter System ◽  
The Many ◽  
Bose Einstein

Gaseous Bose-Einstein condensates are a macroscopic condensed-matter system which can be understood from a microscopic, atomic basis. We present examples of how the optical tools of atomic physics can be used to probe properties of this system. In particular, we describe how stimulated light scattering can be used to measure the coherence length of a condensate, to measure its excitation spectrum, and to reveal the presence of pair excitations in the many-body condensate wavefunction.

ESSENTIALS OF ANYONS

1990 ◽  
Vol 04 (09) ◽  
pp. 1465-1481 ◽  
Author(s):  
MICHAEL STONE
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Condensed Matter ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Condensed Matter Physics ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Lecture Notes ◽  
Chern Simons

These lecture notes are intended to provide an introduction to Chern-Simons theories and “anyons” for readers with interests in condensed matter physics. I discuss applications of anyons in the fractional quantum Hall effect and to superconductivity.

scholarly journals Observation of an even-denominator quantum number in the fractional quantum Hall effect

1987 ◽  
Vol 59 (15) ◽  
pp. 1776-1779 ◽  
Author(s):  
R. Willett ◽  
J. P. Eisenstein ◽  
H. L. Störmer ◽  
D. C. Tsui ◽  
A. C. Gossard ◽  
...  
Keyword(s):  
Hall Effect ◽  
Quantum Number ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Fractional Quantum Hall Effect ◽  
Fractional Quantum ◽  
Fractional Quantum Hall

scholarly journals Uncomputability of phase diagrams

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Johannes Bausch ◽  
Toby S. Cubitt ◽  
James D. Watson
Keyword(s):  
Phase Diagram ◽  
Phase Diagrams ◽  
Positive Measure ◽  
Spectral Gap ◽  
Condensed Matter ◽  
Nearest Neighbour ◽  
Many Body ◽  
Central Importance ◽  
Spin Lattice ◽  
Matter System

AbstractThe phase diagram of a material is of central importance in describing the properties and behaviour of a condensed matter system. In this work, we prove that the task of determining the phase diagram of a many-body Hamiltonian is in general uncomputable, by explicitly constructing a continuous one-parameter family of Hamiltonians H(φ), where $$\varphi \in {\mathbb{R}}$$ φ ∈ R , for which this is the case. The H(φ) are translationally-invariant, with nearest-neighbour couplings on a 2D spin lattice. As well as implying uncomputablity of phase diagrams, our result also proves that undecidability can hold for a set of positive measure of a Hamiltonian’s parameter space, whereas previous results only implied undecidability on a zero measure set. This brings the spectral gap undecidability results a step closer to standard condensed matter problems, where one typically studies phase diagrams of many-body models as a function of one or more continuously varying real parameters, such as magnetic field strength or pressure.

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