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Dynamically driven interacting quantum many-body systems have the potential to exhibit properties that defy the laws of equilibrium statistical mechanics. A widely studied model is the impulsively driven antiferromagnetic Mott insulator,…

We examine devices constructed out of multilayered sandwiches of semi-infinite metal--barrier--semi-infinite metal, with the barrier tuned to lie near the quantum critical point of the Mott metal-insulator transition. By employing dynamical…

Strongly Correlated Electrons · Physics 2009-11-10 J. K. Freericks

We study ground-state properties of the two-dimensional Hubbard model at half filling by improving variational Monte Carlo method and by implementing quantum-number projection and multi-variable optimization. The improved variational wave…

Strongly Correlated Electrons · Physics 2008-08-30 Daisuke Tahara , Masatoshi Imada

One of the most remarkable results of quantum mechanics is the fact that many-body quantum systems may exhibit phase transitions even at zero temperature. Quantum fluctuations, deeply rooted in Heisenberg's uncertainty principle, and not…

As the temperature of a many-body system approaches absolute zero, thermal fluctuations of observables cease and quantum fluctuations dominate. Competition between different energies, such as kinetic energy, interactions or thermodynamic…

Quantum Gases · Physics 2012-03-05 Xibo Zhang , Chen-Lung Hung , Shih-Kuang Tung , Cheng Chin

An integer Quantum Hall effect transition is studied in a modulation doped p-SiGe sample. In contrast to most examples of such transitions the longitudinal and Hall conductivities at the critical point are close to 0.5 and 1.5 (e^2/h), the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 P. T. Coleridge

Mott physics - the interplay between itinerancy and localization of electrons - is undergoing a paradigm shift from the binary "bandwidth - filling" tuning framework to an intertwining of geometric, topological, and fractionalized degrees…

General Physics · Physics 2026-04-15 Zhanchun Li , Renwu Zhang

We demonstrate that the Mott transition exhibits universal scaling as a consequence of the breaking of a $\mathbb{Z}_2$ symmetry in momentum space. A direct consequence of this discrete symmetry breaking is the charge or Mott gap itself.…

Strongly Correlated Electrons · Physics 2025-11-25 Jinchao Zhao , Peizhi Mai , Gaurav Tenkila , Philip W. Phillips

We consider the one-band Hubbard model on the square lattice by using variational and Green's function Monte Carlo methods, where the variational states contain Jastrow and backflow correlations on top of an uncorrelated wave function that…

Strongly Correlated Electrons · Physics 2016-11-17 Luca F. Tocchio , Federico Becca , Sandro Sorella

A quantum phase transition is a dramatic event marked by large spatial and temporal fluctuations, where one phase of matter with its ground state and tower of excitations reorganizes into a completely different phase. We provide new insight…

Superconductivity · Physics 2014-04-11 Mason Swanson , Yen Lee Loh , Mohit Randeria , Nandini Trivedi

Cavity quantum electrodynamic (QED) is studied for two strongly-coupled charge qubits interacting with a single-mode quantized field, which is provided by a on-chip transmission line resonator. We analyze the dressed state structure of this…

Quantum Physics · Physics 2007-05-23 Y. D. Wang , H. T. Quan , Yu-xi Liu , C. P. Sun , Franco Nori

Mid-circuit measurements and feedback operations conditioned on the measurement outcomes are essential for implementing quantum error-correction on quantum hardware. When integrated in quantum many-body dynamics, they can give rise to novel…

We argue that in strongly correlated electron system collective instanton excitations of the phase field (dual to the charge) arise with a great degree of stability, governed by gauge flux changes by an integer multiple of $2\pi$. By…

Strongly Correlated Electrons · Physics 2007-05-23 T. K. Kopec

Quantum criticality plays a central role in understanding non-Fermi liquid behavior and unconventional superconductivity in strongly correlated systems. In this review, we explore the quantum critical Eliashberg theory, which extends…

Strongly Correlated Electrons · Physics 2025-06-16 Ilya Esterlis , Joerg Schmalian

A quantum phase transition (QPT) between distinct ground states of matter is a wide-spread phenomenon in nature, yet there are only a few experimentally accessible systems where the microscopic mechanism of the transition can be tested and…

Superconductivity · Physics 2018-09-06 Hyunjeong Kim , Fédéric Gay , Adrian Del Maestro , Benjamin Sacépé , Andrey Rogachev

Metallic quantum criticality is frequently discussed as a source for non-Fermi liquid behavior, but controlled theoretical treatments are scarce. Here we identify and study a novel magnetic quantum critical point in a two-dimensional…

Strongly Correlated Electrons · Physics 2023-10-10 Bernhard Frank , Zi Hong Liu , Fakher F. Assaad , Matthias Vojta , Lukas Janssen

We study the effect of spatial inhomogeneity on the physics of a strongly correlated electron system exhibiting a metallic phase and a Mott insulating phase, represented by the simple Hubbard model. In three dimensions, we consider various…

Strongly Correlated Electrons · Physics 2015-05-14 Giovanni Borghi , Michele Fabrizio , Erio Tosatti

The quantum Hall effect is studied numerically in modulated two-dimensional electron systems in the presence of disorder. Based on the scaling property of the Hall conductivity as well as the localization length, the critical energies where…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Mikito Koshino , Tsuneya Ando

Many-body open quantum systems balance internal dynamics against decoherence from interactions with an environment. Here, we explore this balance via random quantum circuits implemented on a trapped ion quantum computer, where the system…

Critical behavior developed near a quantum phase transition, interesting in its own right, offers exciting opportunities to explore the universality of strongly-correlated systems near the ground state. Cold atoms in optical lattices, in…

Quantum Gases · Physics 2011-04-21 Xibo Zhang , Chen-Lung Hung , Shih-Kuang Tung , Nathan Gemelke , Cheng Chin
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