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Few-body systems with resonant short-range interactions display universal properties that do not depend on the details of their structure or their interactions at short distances. In the three-body system, these properties include the…

Quantum Gases · Physics 2012-08-16 S. Tölle , H. -W. Hammer , B. C. Metsch

The decoupling of spin and density dynamics is a remarkable feature of quantum one-dimensional many-body systems. In a few-body regime, however, little is known about this phenomenon. To address this problem, we study the time evolution of…

Quantum Gases · Physics 2020-01-13 Rafael Emilio Barfknecht , Angela Foerster , Nikolaj Thomas Zinner

In many-body systems with U(1) global symmetry, the charge fluctuations in a subregion reveal important insights into entanglement and other global properties. For subregions with sharp corners, bipartite fluctuations have been predicted to…

Strongly Correlated Electrons · Physics 2025-08-11 Xiao-Chuan Wu , Kang-Le Cai , Meng Cheng , Prashant Kumar

Theoretical research into many-body quantum systems has mostly focused on regular structures which have a small, simple unit cell and where a vanishingly small number of pairs of the constituents directly interact. Motivated by advances in…

Quantum Physics · Physics 2022-12-06 Joseph Tindall , Amy Searle , Abdulla Alhajri , Dieter Jaksch

How many states of a configuration space contribute to a wave-function? Attempts to answer this ubiquitous question have a long history in physics and chemistry, and are keys to understand e.g. localization phenomena. Quantifying this…

Statistical Mechanics · Physics 2014-02-10 David J. Luitz , Fabien Alet , Nicolas Laflorencie

We study coherent superpositions of clockwise and anti-clockwise rotating intermediate complexes with overlapping resonances formed in bimolecular chemical reactions. Disintegration of such complexes represents an analog of famous…

Quantum Physics · Physics 2007-08-30 L. Benet , L. T. Chadderton , S. Yu. Kun , Wang Qi

Quantum many-body scar states are special eigenstates of nonintegrable models with distinctive entanglement features that give rise to infinitely long-lived coherent dynamics under quantum quenches from certain initial states. We elaborate…

Strongly Correlated Electrons · Physics 2022-12-07 Julia Wildeboer , Christopher M. Langlett , Zhi-Cheng Yang , Alexey V. Gorshkov , Thomas Iadecola , Shenglong Xu

Pulses applied to an inhomogeneously broadened set of harmonic oscillators, previously prepared in squeezed states, can lead to a recovery of coherence, manifesting itself as echoes, similar to those exhibited by an ensemble of spins when…

Quantum Physics · Physics 2021-01-13 Roberto Merlin , Andrea Bianchini

The emergence of macroscopic coherence in a many-body quantum system is a ubiquitous phenomenon across different physical systems and scales. This Chapter reviews key concepts characterizing such systems (correlation functions,…

Quantum Gases · Physics 2025-06-17 Nick P. Proukakis

While plenty of results have been obtained for single-particle quantum systems with chaotic dynamics through a semiclassical theory, much less is known about quantum chaos in the many-body setting. We contribute to recent efforts to make a…

Chaotic Dynamics · Physics 2018-02-07 Maram Akila , Boris Gutkin , Peter Braun , Daniel Waltner , Thomas Guhr

We present a systematic framework to construct model Hamiltonians that have unconventional superconducting pairing states as exact energy eigenstates, by incorporating multibody interactions (i.e., interactions among more than two…

Superconductivity · Physics 2025-01-22 Shohei Imai , Naoto Tsuji

A new approach to the single-band Hubbard model is described in the general context of many-body theories. It is based on enforcing conservation laws, the Pauli principle and a number of crucial sum-rules. More specifically, spin and charge…

Strongly Correlated Electrons · Physics 2009-10-30 Y. M. Vilk , A. -M. S. Tremblay

When the dynamics of a spin ensemble are expressible solely in terms of symmetric processes and collective spin operators, the symmetric collective states of the ensemble are preserved. These many-body states, which are invariant under…

Quantum Physics · Physics 2008-11-05 Bradley A. Chase , J. M. Geremia

The quantum dynamics away from equilibrium is of fundamental interest for interacting many-body systems. In this letter, we study tilted many-body systems using the effective Hamiltonian derived from the microscopic description. We first…

Quantum Gases · Physics 2020-07-29 Pengfei Zhang

While a wealth of results has been obtained for chaos in single-particle quantum systems, much less is known about chaos in quantum many-body systems. We contribute to recent efforts to make a semiclassical analysis of such systems…

Chaotic Dynamics · Physics 2017-04-26 Maram Akila , Daniel Waltner , Boris Gutkin , Petr Braun , Thomas Guhr

A quantum phase transition is generally thought to imprint distinctive characteristics on the nonequilibrium dynamics of a closed quantum system. Specifically, the Loschmidt echo after a sudden quench to a quantum critical point $-$…

Quantum Physics · Physics 2017-01-09 R. Jafari , Henrik Johannesson

We examine an exactly solvable model of decoherence - a spin-system interacting with a collection of environment spins. We show that in this model (introduced some time ago to illustrate environment-induced superselection) generic…

Quantum Physics · Physics 2013-05-29 W. H. Zurek , F. M. Cucchietti , J. P. Paz

The dynamics of interacting quantum many-body systems has two seemingly disparate but fundamental facets. The first is the dynamics of real-space local observables, and if and how they thermalise. The second is to interpret the dynamics of…

Disordered Systems and Neural Networks · Physics 2023-10-10 Bikram Pain , Kritika Khanwal , Sthitadhi Roy

Weakly interacting quasiparticles play a central role in the low-energy description of many phases of quantum matter. At higher energies, however, quasiparticles cease to be well-defined in generic many-body systems due to a proliferation…

Strongly Correlated Electrons · Physics 2024-01-12 Anushya Chandran , Thomas Iadecola , Vedika Khemani , Roderich Moessner

We consider isolated quantum systems with all of their many-body eigenstates localized. We define a sense in which such systems are integrable, and discuss a method for finding their localized conserved quantum numbers ("constants of…

Disordered Systems and Neural Networks · Physics 2015-04-07 David A. Huse , Vadim Oganesyan