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pro vyhledávání: '"Fishman, Matthew"'
Tensor network contractions are widely used in statistical physics, quantum computing, and computer science. We introduce a method to efficiently approximate tensor network contractions using low-rank approximations, where each intermediate tensor ge
Externí odkaz:
http://arxiv.org/abs/2406.09769
Publikováno v:
PRX Quantum 5, 020361 (2024)
We discuss a tensor network method for constructing the adiabatic gauge potential -- the generator of adiabatic transformations -- as a matrix product operator, which allows us to adiabatically transport matrix product states. Adiabatic evolution of
Externí odkaz:
http://arxiv.org/abs/2311.00748
The phenomena of superconductivity and charge density waves are observed in close vicinity in many strongly correlated materials. Increasing evidence from experiments and numerical simulations suggests both phenomena can also occur in an intertwined
Externí odkaz:
http://arxiv.org/abs/2307.11820
Autor:
Tindall, Joseph, Fishman, Matthew T.
Publikováno v:
SciPost Phys. 15, 222 (2023)
Effectively compressing and optimizing tensor networks requires reliable methods for fixing the latent degrees of freedom of the tensors, known as the gauge. Here we introduce a new algorithm for gauging tensor networks using belief propagation, a me
Externí odkaz:
http://arxiv.org/abs/2306.17837
Autor:
Kloss, Benedikt, Thoenniss, Julian, Sonner, Michael, Lerose, Alessio, Fishman, Matthew T., Stoudenmire, E. M., Parcollet, Olivier, Georges, Antoine, Abanin, Dmitry A.
Publikováno v:
Phys. Rev. B 108, 205110 (2023)
In the $0+1$ dimensional imaginary-time path integral formulation of quantum impurity problems, the retarded action encodes the hybridization of the impurity with the bath. In this Article, we explore the computational power of representing the retar
Externí odkaz:
http://arxiv.org/abs/2306.17216
Tensor network representations of quantum many-body states provide powerful tools for strongly correlated systems, tailored to capture local correlations such as ground states exhibiting entanglement area laws. When applying tensor network states to
Externí odkaz:
http://arxiv.org/abs/2212.09798
Autor:
Xiao, Bo, Moreno, Javier Robledo, Fishman, Matthew, Sels, Dries, Khatami, Ehsan, Scalettar, Richard
Publikováno v:
Phys. Rev. Research 6, L022064 (2024)
Quantum gas microscopy has developed into a powerful tool to explore strongly correlated quantum systems. However, discerning phases with topological or off-diagonal long range order requires the ability to extract these correlations from site-resolv
Externí odkaz:
http://arxiv.org/abs/2209.10565
Publikováno v:
Phys. Rev. Research 3, 023054 (2021)
We numerically solve the Hubbard model on the Bethe lattice with finite coordination number $z=3$, and determine its zero-temperature phase diagram. For this purpose, we introduce and develop the `variational uniform tree state' (VUTS) algorithm, a t
Externí odkaz:
http://arxiv.org/abs/2010.06543
Publikováno v:
SciPost Phys. Codebases 4 (2022)
ITensor is a system for programming tensor network calculations with an interface modeled on tensor diagram notation, which allows users to focus on the connectivity of a tensor network without manually bookkeeping tensor indices. The ITensor interfa
Externí odkaz:
http://arxiv.org/abs/2007.14822
Autor:
Fishman, Matthew Theodore
The field of tensor networks, kicked off in 1992 by Steve White's invention of the spectacularly successful density matrix renormalization group (DMRG) algorithm, has exploded in popularity in recent years. Tensor networks are poised to play a role i