Matthias Troyer

Microsoft (United States)

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Simon Trebst

University of Cologne

Lode Pollet

Munich Center for Quantum Science and Technology

Philipp Werner

University of Fribourg

Bela Bauer

Microsoft (United States)

Emanuel Gull

University of Michigan–Ann Arbor

Nikolay Prokof’ev

University of Massachusetts Amherst

Boris Svistunov

Shanghai Jiao Tong University

Alexey A. Soluyanov

Financial University

Dave Wecker

Microsoft (United States)

Fabien Alet

Laboratoire de Physique Théorique

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Microsoft (United States)

201

ETH Zurich

162

University of California, Santa Barbara

Centre National de la Recherche Scientifique

The University of Tokyo

École Polytechnique Fédérale de Lausanne

Board of the Swiss Federal Institutes of Technology

Delft University of Technology

University of Copenhagen

University of California, Berkeley

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COMPARISON OF DIVER-OPERATED UNDERWATER PHOTOGRAMMETRIC SYSTEMS FOR CORAL REEF MONITORING

The international archives of the photogrammetry, remote sensing and spatial information sciences/International archives of the photogrammetry, remote sensing and spatial information sciences (2019)

Erica Nocerino Fabian Neyer A. Gruen Matthias Troyer F. Menna

Abstract. Underwater photogrammetry is a well-established technique for measuring and modelling the subaquatic environment in fields ranging from archaeology to marine ecology. While for simple tasks the acquisition and processing of images have become straightforward, applications requiring relative accuracy better then 1:1000 are still considered challenging. This study focuses on the metric evaluation of different off-the-shelf camera systems for making high resolution and high accuracy measurements of coral reefs monitoring through time, where the variations to be measured are in the range of a few centimeters per year. High quality and low-cost systems (reflex and mirrorless vs action cameras, i.e. GoPro) with multiple lenses (prime and zoom), different fields of views (from fisheye to moderate wide angle), pressure housing materials and lens ports (dome and flat) are compared. Tests are repeated at different camera to object distances to investigate distance dependent induced errors and assess the accuracy of the photogrammetrically derived models. An extensive statistical analysis of the different systems is performed and comparisons against reference control point measured through a high precision underwater geodetic network are reported.

Ranging

Remotely operated vehicle

10.5194/isprs-archives-xlii-2-w10-143-2019

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Citations (17)

Interacting anyons in one dimension: The Fibonacci chain

Bulletin of the American Physical Society (2007)

Andreas W. W. Ludwig Adrian Feiguin Simon Trebst Matthias Troyer Alexei Kitaev

Chain (unit)

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Technical Report of ISSP Ser. A: Number 3080

Matthias Troyer Hiroshi Kontani Kazuo Ueda Marianne De Troyer 紺谷浩

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Properties of lightly dopedt-Jtwo-leg ladders

Physical review. B, Condensed matter (1996)

Matthias Troyer Hirokazu Tsunetsugu T. M. Rice

We have numerically investigated the doped t-J ladder using exact diagonalization. We have studied both the limit of strong interchain coupling and isotropic coupling. The ladder scales to the Luther-Emery liquid regime in the strong interchain coupling limit. In this strong coupling limit there is a simple picture of the excitation spectrum that can be continued to explain the behavior at isotropic coupling. At J=0 we have indications of a ferromagnetic ground state. At a large J/t the ladder is phase separated into holes and a Heisenberg ladder. At intermediate coupling the ground state shows hole pairing with a modified d-wave symmetry. The excitation spectrum separates into a limited number of quasiparticles which carry charge +\ensuremath{\Vert}e\ensuremath{\Vert} and spin 1/2 and a triplet magnon mode. At half filling the former vanish but the latter evolves continuously into the magnon band of the spin liquid. At low doping the quasiparticles form a dilute Fermi gas with a strong attraction but simultaneously the Fermi wave vector, as would be measured in photoemission, is large. The dynamical structure factors are calculated and are found to be very similar to calculations on two-dimensional clusters. \textcopyright{} 1996 The American Physical Society.

Magnon

10.1103/physrevb.53.251

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Citations (173)

Operator locality in the quantum simulation of fermionic models

Physical review. A/Physical review, A (2017)

Vojtěch Havlíček Matthias Troyer James Whitfield

Simulating fermionic lattice models with qubits requires mapping fermionic degrees of freedom to qubits. The simplest method for this task, the Jordan-Wigner transformation, yields strings of Pauli operators acting on an extensive number of qubits. This overhead can be a hindrance to implementation of qubit-based quantum simulators, especially in the analog context. Here we thus review and analyze alternative fermion-to-qubit mappings, including the two approaches by Bravyi and Kitaev and the auxiliary fermion transformation. The Bravyi-Kitaev transform is reformulated in terms of a classical data structure and generalized to achieve a further locality improvement for local fermionic models on a rectangular lattice. We conclude that the most compact encoding of the fermionic operators can be done using ancilla qubits with the auxiliary fermion scheme. Without introducing ancillas, a variant of the Bravyi-Kitaev transform provides the most compact fermion-to-qubit mapping for Hubbard-like models.

Operator (biology)

10.1103/physreva.95.032332

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Citations (85)

Erratum: Bond Disorder Induced Criticality of the Three-Color Ashkin-Teller Model [Phys. Rev. Lett.109, 155701 (2012)]

Physical Review Letters (2015)

Arash Bellafard Helmut G. Katzgraber Matthias Troyer Sudip Chakravarty

10.1103/physrevlett.114.189903

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Multiorbital Kondo physics of Co in Cu hosts

Physical Review B (2012)

Brigitte Surer Matthias Troyer Philipp Werner Tim O. Wehling Andreas M. Läuchli

We investigate the electronic structure of cobalt atoms on a copper surface and in a copper host by combining density-functional calculations with a numerically exact continuous-time quantum Monte Carlo treatment of the five-orbital impurity problem. In both cases we find low energy resonances in the density of states of all five Co $d$ orbitals. The corresponding self-energies indicate the formation of a Fermi liquid state at low temperatures. Our calculations yield the characteristic energy scale---the Kondo temperature---for both systems in good agreement with experiments. We quantify the charge fluctuations in both geometries and suggest that Co in Cu must be described by an Anderson impurity model rather than by a model assuming frozen impurity valency at low energies. We show that fluctuations of the orbital degrees of freedom are crucial for explaining the Kondo temperatures obtained in our calculations and measured in experiments.

Valency

Anderson impurity model

Density of states

10.1103/physrevb.85.085114

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Citations (58)

Simulation of quantum phase transitions

APS (2001)

Matthias Troyer

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