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Search results in Condensed Matter from PIRSA

1045 - 1056 of 1193 Results

Beyond the Search for Majorana

Yi-Zhuang You University of California, San Diego
November 30, 2012

PIRSA:12110088
Condensed Matter
Universal driven dynamics near phase transitions : Kibble-Zurek ramps with and without an order parameter

Anushya Chandran Perimeter Institute for Theoretical Physics
November 29, 2012

PIRSA:12110095
Condensed Matter
Fractional quantum Hall effect and tunable interactions

Zlatko Papic University of Leeds
November 29, 2012

PIRSA:12110081
Condensed Matter
Fractional Chern Insulators

Titus Neupert ETH Zurich
November 29, 2012

PIRSA:12110080
Condensed Matter
Dyon condensation in topological Mott insulators

Gil Young Cho Pohang University of Science and Technology
November 28, 2012

PIRSA:12110087
Condensed Matter
Wiring up Quantum Systems: Fun with Artificial Atoms and Microwave Photons

Steve Girvin Yale University
November 28, 2012

PIRSA:12110041
Condensed Matter
12/13 PSI Researcher Presentation

Steve Girvin Yale University
November 28, 2012

PIRSA:12110093
Condensed Matter
Entanglement and the Fermi surface

Brian Swingle Brandeis University
November 27, 2012

PIRSA:12110082
Condensed Matter
Twisted quantum double model of topological phases

Yidun Wan Fudan University
November 21, 2012

PIRSA:12110079
Condensed Matter
Twisted quantum double model of topological phases

Yidun Wan Fudan University
November 21, 2012

PIRSA:12110077
Condensed Matter
Superradiant Superconductivity

Baskaran Ganapathy Institute of Mathematical Sciences
November 16, 2012

PIRSA:12110071
Condensed Matter
Synthetic non-Abelian anyons in fractional Chern insulators and beyond

Xiaoliang Qi Stanford University
October 26, 2012

PIRSA:12100051
Condensed Matter

Beyond the Search for Majorana

Yi-Zhuang You University of California, San Diego
November 30, 2012

PIRSA:12110088
Condensed Matter
The search for Majorana zero-modes in condensed matter system has attract increasing research interests recently. Looking for Majorna zero-mode is actually looking for topologically protected ground state degeneracy. The topological degeneracies on closed manifolds have been used to discover/define topological order in many-body systems, which contain excitations with fractional statistics. In this talk, I will present our recent work on new types of topological degeneracy induced by condensing anyons along a line in 2D topological ordered states. Such topological degeneracy can be viewed as carried by each end of the line-defect, which is a generalization of Majorana zero-modes. The ends of line-defects carry projective non-Abelian statistics even though they are produced by condensation of Abelian anyons, and braiding them allow us to perform fault tolerant quantum computations.
Universal driven dynamics near phase transitions : Kibble-Zurek ramps with and without an order parameter

Anushya Chandran Perimeter Institute for Theoretical Physics
November 29, 2012

PIRSA:12110095
Condensed Matter
Near a critical point, the equilibrium relaxation time of a system diverges and any change of control parameters leads to non-equilibrium behavior. The Kibble-Zurek (KZ) problem is to determine
the evolution of the system when the change is slow. In this talk, I will introduce a non-equilibrium scaling limit in which these evolutions are universal and define a KZ universality classification with exponents and scaling functions. I will illustrate the physics accessible in this
scaling limit in simple classical and quantum model theories with symmetry-breaking transitions.

I will then turn to the KZ problem near quantum phase transitions without a local order parameter.
First, I will introduce the necessary background through the example of the Ising gauge theory/generalized toric code. Using duality and the scaling theory developed in the first part of the talk, I will then argue that the late time dynamics exhibits a slow coarsening of the string-net
that is condensed in the starting topologically ordered state. I will also discuss a time dependent amplification of the energy splitting between topologically degenerate states on closed manifolds and the dangerous irrelevance of gapped modes. Finally, I will extend these ideas to the non-abelian SU(2)_k ordered phases of the relevant Levin-Wen models.
Fractional quantum Hall effect and tunable interactions

Zlatko Papic University of Leeds
November 29, 2012

PIRSA:12110081
Condensed Matter
In this talk I will review some existing experimental methods, as well as a few recent theoretical proposals, to tune the interactions in a number of low-dimensional systems exhibiting the fractional quantum Hall effect (FQHE). The materials in question include GaAs wide quantum wells and multilayer graphene, where the tunability of the electron-electron interactions can be achieved via modifying the band structure, dielectric environment of the sample, by tilting the magnetic field or varying the mass tensor, and by mixing of electronic subbands and Landau levels. Because the interesting topological (and in particular, non-Abelian) states arise solely due to strong interactions, the ability to tune them is essential for ``designing" more robust FQHE states. Furthermore, I will argue that some of these mechanisms can also be used to probe the subtle aspects of FQHE physics, such as the breaking of particle-hole symmetry between the Moore-Read Pfaffian and anti-Pfaffian states, and the transition between FQHE fluids and broken-symmetry states due to the fluctuation of the intrinsic geometric degree of freedom.
Fractional Chern Insulators

Titus Neupert ETH Zurich
November 29, 2012

PIRSA:12110080
Condensed Matter
Fractional Chern insulators (FCIs) are topologically ordered states of interacting fermions that share their universal properties with fractional quantum Hall states in Landau levels. FCIs have been found numerically in a variety of two-dimensional lattice models upon partially filling an almost dispersionless band with nontrivial topological character with repulsively interacting fermions. I will show how FCIs emerge in bands with Chern number C=1 and C=2 and in Z_2 topological insulators, where the latter are accompanied by a spontaneous breaking of time-reversal symmetry. Further, I will discuss the relevance of the noncommutative quantum geometry of the flat topological band to the stability of FCIs and how they can be distinguished from phases of spontaneously broken point group symmetry, such as charge density waves.
Dyon condensation in topological Mott insulators

Gil Young Cho Pohang University of Science and Technology
November 28, 2012

PIRSA:12110087
Condensed Matter
We consider quantum phase transitions out of topological Mott insulators in which the ground state of the fractionalized excitations (fermionic spinons) is topologically non-trivial. The spinons in topological Mott insulators are coupled to an emergent compact U(1) gauge field with a so-called "axion" term. We study the confinement transitions from the topological Mott insulator to broken symmetry phases, which may occur via the condensation of dyons. Dyons carry both "electric" and "magnetic" charges, and arise naturally in this system because the monopoles of the emergent U(1) gauge theory acquires gauge charge due to the axion term. It is shown that the dyon condensate, in general, induces simultaneous current and bond orders. When the magnetic transition is driven by dyon condensation, we identify the bond order as valence bond solid order and the current order as scalar spin chirality order. Hence, the confined phase of the topological Mott insulator is an exotic phase where the scalar spin chirality and the valence bond order coexist and appear via a single transition. If time allows, I will also discuss our recent work on the proximate symmetry-broken phases of Z2 spin liquid on Kagome lattice.
Wiring up Quantum Systems: Fun with Artificial Atoms and Microwave Photons

Steve Girvin Yale University
November 28, 2012

PIRSA:12110041
Condensed Matter
A revolution is underway in the construction of ‘artificial atoms’ out of superconducting electrical circuits. These macroscopic ‘atoms’ have quantized energy levels and can emit and absorb quanta of light (in this case microwave photons), just like ordinary atoms. Unlike ‘real’ atoms, the properties of these artificial atoms can be engineered to suit various particular applications, and they can be connected together by wires to form quantum ‘computer chips.’ This so-called ‘circuit QED’ architecture has given us the ability to do non-linear quantum optics in electrical circuits at the single photon level. It is now possible to entangle multiple qubits, count individual microwave photons, create large ‘Schrödinger cat’ photon states and perform quantum feedback. This talk will present an elementary introduction to the field.
12/13 PSI Researcher Presentation

Steve Girvin Yale University
November 28, 2012

PIRSA:12110093
Condensed Matter
Entanglement and the Fermi surface

Brian Swingle Brandeis University
November 27, 2012

PIRSA:12110082
Condensed Matter
In this talk I will describe my work characterizing quantum entanglement in systems with a Fermi surface. This class includes everything from Fermi liquids to exotic spin liquids in frustrated magnets and perhaps even holographic systems. I review my original scaling argument and then describe in detail a number of new precise results on entanglement in Fermi liquids. I will also discuss recent quantum Monte Carlo calculations of Renyi entropies and will argue that we now have a rather complete agreement between theory and numerics for Fermi liquid entanglement. I will also discuss universal crossovers between thermal and entanglement entropy and a class of solvable interacting models where we can prove the universality of the Widom formula for Fermi surface entanglement. If there is time, I will comment on several other topics including fluctuations of conserved quantities and connections to holography.
Twisted quantum double model of topological phases

Yidun Wan Fudan University
November 21, 2012

PIRSA:12110079
Condensed Matter
Twisted quantum double model of topological phases

Yidun Wan Fudan University
November 21, 2012

PIRSA:12110077
Condensed Matter
Superradiant Superconductivity

Baskaran Ganapathy Institute of Mathematical Sciences
November 16, 2012

PIRSA:12110071
Condensed Matter
In Dicke Superradiance, a collection of 2-level atoms interacting with a single boson mode acquires, through quantum coherence, an enhanced emission property and a rich dynamics. We suggest possibility of Dicke superradiance in a BCS superconductor. The necessary 2-level atoms are identified with Anderson pseudo spins seeing a self consistent mean field in k-space. A way to couple these 2-level bose atoms to an external boson mode and create a novel non equilibrium superradiant superconductivity (SRSC) is suggested. Our mechanism offers a hope to realize transient superconductivity, even at room temperatures, in the pseudo gap phase of certain underdoped cuprates. Recent experiments are briefly discussed in this light. Further SRSC exhibits interesting quantum entanglement and superfluorescence properties.
Synthetic non-Abelian anyons in fractional Chern insulators and beyond

Xiaoliang Qi Stanford University
October 26, 2012

PIRSA:12100051
Condensed Matter
An exciting new prospect in condensed matter physics is the possibility of realizing fractional quantum Hall states in simple lattice models without a large external magnetic field, which are called fractional Chern insulators. A fundamental question is whether qualitatively new states can be realized on the lattice as compared with ordinary fractional quantum Hall states. Here we propose new symmetry-enriched topological states, topological nematic states, which are a dramatic consequence of the interplay between the lattice translational symmetry and topological properties of these fractional Chern insulators. The topological nematic states are realized in a partially filled flat band with a Chern number N, which can be mapped to an N-layer quantum Hall system on a regular lattice. However, in the topological nematic states the lattice dislocations become non-Abelian defects which create "worm holes" connecting the effective layers, and effectively change the topology of the space. Such topology-changing defects, which we name as "genons", can also be defined in other physical systems. We develop methods to compute the projective non-abelian braiding statistics of the genons, and we find the braiding is given by adiabatic modular transformations, or Dehn twists, of the topological state on the effective genus g surface. We find situations where the > genons have quantum dimension 2 and can be used for universal topological quantum computing (TQC), while the host topological state is by itself non-universal for TQC.

Title	Date	Collection	Type	Info
Beyond the Search for Majorana	2012‑11‑30	Quantum Matter	Scientific Series	View details
Universal driven dynamics near phase transitions : Kibble-Zurek ramps with and without an order parameter	2012‑11‑29	Quantum Matter	Scientific Series	View details
Fractional quantum Hall effect and tunable interactions	2012‑11‑29	Quantum Matter	Scientific Series	View details
Fractional Chern Insulators	2012‑11‑29	Quantum Matter	Scientific Series	View details
Dyon condensation in topological Mott insulators	2012‑11‑28	Quantum Matter	Scientific Series	View details
Wiring up Quantum Systems: Fun with Artificial Atoms and Microwave Photons	2012‑11‑28	Colloquium	Scientific Series	View details
12/13 PSI Researcher Presentation	2012‑11‑28	12/13 PSI Researcher Presentations	Course	View details
Entanglement and the Fermi surface	2012‑11‑27	Quantum Matter	Scientific Series	View details
Twisted quantum double model of topological phases	2012‑11‑21	Quantum Matter	Scientific Series	View details
Twisted quantum double model of topological phases	2012‑11‑21	Quantum Matter	Other	View details
Superradiant Superconductivity	2012‑11‑16	Quantum Matter	Scientific Series	View details
Synthetic non-Abelian anyons in fractional Chern insulators and beyond	2012‑10‑26	Quantum Matter	Scientific Series	View details

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Format results

Beyond the Search for Majorana

Universal driven dynamics near phase transitions : Kibble-Zurek ramps with and without an order parameter

Fractional quantum Hall effect and tunable interactions

Fractional Chern Insulators

Dyon condensation in topological Mott insulators

Wiring up Quantum Systems: Fun with Artificial Atoms and Microwave Photons

12/13 PSI Researcher Presentation

Entanglement and the Fermi surface

Twisted quantum double model of topological phases

Twisted quantum double model of topological phases

Superradiant Superconductivity

Synthetic non-Abelian anyons in fractional Chern insulators and beyond

Beyond the Search for Majorana

Universal driven dynamics near phase transitions : Kibble-Zurek ramps with and without an order parameter

Fractional quantum Hall effect and tunable interactions

Fractional Chern Insulators

Dyon condensation in topological Mott insulators

Wiring up Quantum Systems: Fun with Artificial Atoms and Microwave Photons

12/13 PSI Researcher Presentation

Entanglement and the Fermi surface

Twisted quantum double model of topological phases

Twisted quantum double model of topological phases

Superradiant Superconductivity

Synthetic non-Abelian anyons in fractional Chern insulators and beyond