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# Quantum Matter

This series consists of talks in the area of Quantum Matter.

## Seminar Series Events/Videos

Currently there are no upcoming talks in this series.

## Universal Spin Duals to Majorana Networks, Fractionalization in Exactly Solvable Systems, and Holography

Vendredi mai 25, 2012
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## Correlated Electronic States in Conjugated Polymers: A DMRG Approach

Vendredi mai 18, 2012
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Electrons in conjugated organic polymers and molecules are strongly correlated since most of these systems are quasi one-dimensional.  Experimental evidences include existence of two photons below one photon state, observation of negative spin densities in polyene radicals and qualitatively different behavior of  optical gaps in polyenes and closely related symmetric cynanine dyes in the thermodynamic limiy. In this talk, I will introduce the model Hamiltonians for the electron states in conjugated systems.

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## Emergent Gauge Fields and their Condensation in Quantum Spin Liquids

Vendredi mai 11, 2012
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Large quantum fluctuations in certain quantum spin systems destroy long range magnetic order such as antiferromagnetism. Resulting paramagnetic states are called a quantum spin liquids. These states support emergent gauge fields [1]. Under certain conditions, emergent gauge fields condense in the ground state, leading to a chiral spin liquid state [2]. A condensed magnetic field' for example, correspond to presence of spontaneous circulating spin current or spin chirality'[3].

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## Spin-liquid Phase in Spin-1/2 square J_1-J_2 Heisenberg Model: A Tensor Product State Approach

Mercredi avr 25, 2012
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The ground state phase of spin-1/2 J1-J2 antiferromagnetic Heisenberg model on square lattice in the maximally frustrated regime (J2 ~ 0.5J1) has been debated for decades. Here we study this model by using a recently proposed novel numerical method - the cluster update algorithm for tensor product states (TPSs). The ground state energies at finite sizes and in the thermodynamic limit (with finite size scaling) are in good agreement with the state of art exact diagonalization study, and

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## Virtual Parallel Computing and a Search Algorithm Using Matrix Product States

Vendredi avr 20, 2012
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We propose a form of parallel computing on classical computers that is based on matrix product states. The virtual parallelization is accomplished by evolving all possible results for multiple inputs, with bits represented by matrices. The action by classical probabilistic 1-bit and deterministic 2-bit gates such as NAND are implemented in terms of matrix operations and, as opposed to quantum computing, it is possible to copy bits. We present a way to explore this method of computation to solve search problems and count the number of solutions.

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## A Luttinger Liquid Core Inside Helium-4 Filled Nanopores

Vendredi avr 13, 2012
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As helium-4 is cooled below 2.17 K in undergoes a phase transition to a state of matter known as a superfluid which supports flow without viscosity. This type of dissipationless transport can be observed by forcing helium to travel through a narrow constriction that the normal liquid could not penetrate. Recent advances in nanofabrication techniques allow for the construction of smooth pores with nanometer radii, that approach the truly one dimensional limit.

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## Fundamental Aspects of Transport in Condensed Matter and Atomic Physics

Vendredi mar 30, 2012
I will discuss some of the most basic questions in fermionic and bosonic transport, such as the conditions for the existence of a steady-state current, its uniqueness, the role of interactions and spin statistics, its entanglement entropy, etc. This will lead me to introduce an alternative viewpoint to conduction - the micro-canonical formalism of transport - which is ideal to study the above issues [1].
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## Renormalization of Tensor-network States/Models

Vendredi mar 23, 2012
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One of the biggest challenges in physics is to develop accurate and efficient methods that can solve many currently intractable problems in correlated quantum or statistical systems. Tensor-network model/state is drawing more and more attention since it captures the feature of the area law and is absent from the sign problem. The evaluation of the expectation value of the observables can be reduced to the contraction of a tensor-network, which can be done by means of renormalization group method, and this is exactly what tensor renormalization group (TRG) method has done.

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## Where Are We in Spin Liquid Research?

Vendredi mar 16, 2012
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We provide a brief introduction to quantum spin liquid
and review current status of theoretical and experimental progresses on this
subject. Spin liquid phases that arise in different situations are examined in
the light of both theoretical models and experimental systems.

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## Fractional Chern and Topological Insulators

Mardi jan 10, 2012
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Recent years have seen a renewed interest, both theoretically and experimentally, in the search for topological states of matter. On the theoretical side, while much progress has been achieved in providing a general classification of non-interacting topological states, the fate of these phases in the presence of strong interactions remains an open question. The purpose of this talk is to describe recent developments on this front.

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