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Martin Ganahl

Portrait de Martin Ganahl

Areas of Research:

Research Interests

I am a condensed matter physicist working on strongly correlated quantum systems on the lattice and in the continuum, using numerical tools like tensor network methods. In particular, I'm interested in out of equilibrium dynamics of low dimensional quantum systems, like e.g. spin chains, bosonic field theories or interacting impurities coupled to fermionic or bosonic reservoirs.
I develop tensor networks methods for continuous quantum field theories, which allow the non-perturbative calculation of ground-states and excited states of quantum field theories.

I work on applications of tensor networks to machine learning.

Recent Publications

  • Continuous matrix product states for non-relativistic quantum fields: a lattice algorithm for inhomogeneous systems Martin Ganahl, Guifre Vidal Phys. Rev. B 98, 195105 (2018)
  • Martin Ganahl, Julian Rincon, Guifre Vidal Continuous Matrix Product States for Quantum Fields: an Energy Minimization Algorithm Phys. Rev. Lett. 118, 220402 (2017) arXiv: 1611.03779
  • Georg W. Winkler, Martin Ganahl, Dirk Schuricht, Hans Gerd Evertz, Sabine Andergassen Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction New Journal of Physics 19, 063009 (2017) arXiv: 1701.03793
  • Antonius Dorda, Martin Ganahl, Sabine Andergassen, Wolfgang von der Linden, Enrico Arrigoni Thermoelectric response of a correlated impurity in the nonequilibrium Kondo regime Phys. Rev. B 94, 245125 (2016) arXiv: 1608.05714
  • Rogier Vlijm, Martin Ganahl, Davide Fioretto, Michael Brockmann, Masudul Haque, Hans Gerd Evertz, Jean-Sébastien Caux Quasi-soliton scattering in quantum spin chains, Phys. Rev. B 92, 214427
  • Martin Ganahl, Markus Aichhorn, Patrik Thunström, Karsten Held, Hans Gerd Evertz, Frank Verstraete Efficient DMFT impurity solver using real-time dynamics with Matrix Product States Phys. Rev. B 92, 155132 (2015), arXiv: 1405.6728
  • Antonius Dorda, Martin Ganahl, Hans Gerd Evertz, Wolfgang von der Linden, and Enrico Arrigoni, Auxiliary master equation approach within matrix product states: Spectral properties of the nonequilibrium Anderson impurity model, Phys. Rev. B 92, 125145
  • Julián Rincón, Martin Ganahl, and Guifre Vidal Lieb-Liniger model with exponentially decaying interactions: A continuous matrix product state study, Phys. Rev. B 92, 115107
  • V. Zauner, M. Ganahl, H. G. Evertz, T. Nishino Time Evolution within a Comoving Window: Scaling of signal fronts and magnetization plateaus after a local quench in quantum spin chains arXiv: 1207.0862 to be published in Journal of Physics: Condensed Matter:JPCM-104759.R1, arXiv: 1207.0862
  • Martin Nuss, Martin Ganahl, Enrico Arrigoni, Wolfgang von der Linden, Hans Gerd Evertz Nonequilibrium, spatio-temporal formation of the Kondo screening-cloud on a lattice Phys. Rev. B 91, 085127 (2015) , arXiv: 1409.0646
  • Martin Ganahl, Patrik Thunström, Frank Verstraete, Karsten Held, Hans Gerd Evertz Chebyshev expansion for Impurity Models using Matrix Product States Phys. Rev. B 90, 045144 (2014), arXiv: 1403.1209
  • Michael Knap, Charles J. M. Mathy, Martin Ganahl, Mikhail B. Zvonarev, Eugene Demler Quantum Flutter: Signatures and Robustness Phys. Rev. Lett. 112, 015302 (2014) ,arXiv: 1303.3583
  • Martin Nuss, Martin Ganahl, Hans Gerd Evertz, Enrico Arrigoni, Wolfgang von der Linden Steady-state and quench dependent relaxation of a quantum dot coupled to one-dimensional leads Phys. Rev. B 88, 045132 (2013) , arXiv: 1301.3068
  • Martin Nuss, Christoph Heil, Martin Ganahl, Michael Knap, Hans Gerd Evertz, Enrico Arrigoni, Wolfgang von der Linden Steady-state spectra, current and stability diagram of a quantum dot: a non-equilibrium Variational Cluster Approach Phys. Rev. B 86, 245119 (2012) , arXiv: 1207.5641
  • Michael Knap, Erez Berg, Martin Ganahl, Eugene Demler Clustered Wigner crystal phases of cold polar molecules in arrays of one-dimensional tubes Phys. Rev. B 86, 064501 (2012), arXiv: 1112.5662
  • Martin Ganahl, Elias Rabel, Fabian H. L. Essler, Hans Gerd Evertz Observing complex bound states in the spin-1/2 Heisenberg XXZ chain using local quantum quenches Phys. Rev. Lett. 108, 077206 (2012), arXiv: 1112.3355
  • TensorNetwork on TensorFlow: Entanglement Renormalization for quantum critical lattice models Martin Ganahl, Ashley Milsted, Stefan Leichenauer, Jack Hidary, Guifre Vidal
  • Magic entanglement renormalization for quantum fields Yijian Zou, Martin Ganahl, Guifre Vidal
  • TensorNetwork on TensorFlow: A Spin Chain Application Using Tree Tensor Networks Ashley Milsted, Martin Ganahl, Stefan Leichenauer, Jack Hidary, Guifre Vidal
  • TensorNetwork: A Library for Physics and Machine Learning Chase Roberts, Ashley Milsted, Martin Ganahl, Adam Zalcman, Bruce Fontaine, Yijian Zou, Jack Hidary, Guifre Vidal, Stefan Leichenauer
  • Continuous Matrix Product States for Inhomogeneous Quantum Field Theories: a Basis-Spline Approach Martin Ganahl
  • M. Ganahl, M. Haque, H.G. Evertz Quantum Bowling: Particle-hole transmutation in one-dimensional strongly interacting lattice models


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  • New%20methods%20for%20continuous%20matrix%20product%20states%0AMemorial%20University%2C%20St.%20John%22s
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  • Tensor Networks and Dynamical Mean Field Theory University of Sherbrooke
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  • Tensor Networks for the Continuum Group Meeting at University of Sherbrooke
  • Continuous%20Matrix%20Product%20States%20for%20Non-relativistic%20Quantum%20Field%20Theories%0AInstitute%20for%20Science%20and%20Technology%2C%20Klosterneuburg%2C%20Austria
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  • Variational%20Energy%20Minimization%20for%20Continuous%20Space%20Matrix%20Product%20States%0AUniversity%20of%20Technology%20Graz%2C%20Austria
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  • Introduction%20to%20Continuous%20Matrix%20Product%20States%0AStony%20Brook%3A%20Third%20Annual%20Summer%20School%3A%20Simons%20Collaboration%20on%20the%20Many%20Electron%20Problem
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  • Impurity%20Solver%20for%20Dynamical%20Mean%20Field%20Theory%20using%20Matrix%20Product%20States%2C%0AAPS%20March%20Meeting%2C%20San%20Antonio