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Detecting topological order in cold-atom experiments is an ongoing challenge, the resolution of which offers novel perspectives on topological matter. In material systems, unambiguous signatures of topological order exist for topological…

Quantum Gases · Physics 2013-04-25 N. Goldman , J. Dalibard , A. Dauphin , F. Gerbier , M. Lewenstein , P. Zoller , I. B. Spielman

Measurements can drive quantum many-body systems into nontrivial steady states and induce interesting dynamical phase transitions, rendering measurement-only quantum circuits a useful platform for exploring quantum many-body phases beyond…

Quantum Physics · Physics 2026-05-26 Bihui Zhu

We introduce a new paradigm for the preparation of deeply entangled states useful for quantum metrology. We show that when the quantum state is an eigenstate of an operator $A$, observables $G$ which are completely off-diagonal with respect…

Quantum Physics · Physics 2025-01-14 Irénée Frérot , Tommaso Roscilde

The Bose-Hubbard model exhibits a rich phase diagram consisting both of insulating regimes where diagonal long range (solid) order dominates as well as conducting regimes where off diagonal long range order (superfluidity) is present. In…

Condensed Matter · Physics 2009-10-22 R. T. Scalettar , G. G. Batrouni , A. P. Kampf , G. T. Zimanyi

Order parameters represent a fundamental resource to characterize quantum matter. We show that pair superfluids can be rigorously defined in terms of a nonlocal order parameter, named odd parity, which derivation is experimentally…

Quantum Gases · Physics 2025-02-12 Nitya Cuzzuol , Luca Barbiero , Arianna Montorsi

We present a generalization of the recently proposed variational cluster perturbation theory to extended Hubbard models at half filling with repulsive nearest neighbor interaction. The method takes into account short-range correlations…

Strongly Correlated Electrons · Physics 2009-11-10 M. Aichhorn , H. G. Evertz , W. von der Linden , M. Potthoff

Topological orders are a class of exotic states of matter characterized by patterns of long-range entanglement. Certain topologically ordered systems are proposed as potential realization of fault-tolerant quantum computation. Topological…

Quantum Physics · Physics 2019-05-08 Zhihuang Luo , Jun Li , Zhaokai Li , Ling-Yan Hung , Yidun Wan , Xinhua Peng , Jiangfeng Du

Fractionalization of symmetry - exemplified by spin-charge separation in the 1D Hubbard model and fractional charges in the fractional quantum Hall effect - is a typical strongly correlated phenomena in quantum many-body systems. Despite…

Quantum Gases · Physics 2026-02-17 Liang Tong , Shi Chen , Yu Chen

Quantum gas microscopes probe quantum many-body lattice states via projective measurements in the occupation basis, enabling access to various density and spin correlations. Phase information, however, cannot be directly obtained in these…

Quantum Gases · Physics 2026-02-13 Christof Weitenberg , Luca Asteria , Ola Carlsson , Annabelle Bohrdt , Fabian Grusdt

Topological or deconfined phases are characterized by emergent, weakly fluctuating, gauge fields. In condensed matter settings they inevitably come coupled to excitations that carry the corresponding gauge charges which invalidate the…

Strongly Correlated Electrons · Physics 2011-03-18 K. Gregor , David A. Huse , R. Moessner , S. L. Sondhi

We have experimentally investigated the formation of off-diagonal long-range order in a gas of ultracold atoms. A magnetically trapped atomic cloud prepared in a highly nonequilibrium state thermalizes and thereby crosses the Bose-Einstein…

Statistical Mechanics · Physics 2007-05-23 Stephan Ritter , Anton Öttl , Tobias Donner , Thomas Bourdel , Michael Köhl , Tilman Esslinger

A quantum system exhibits off-diagonal long-range order (ODLRO) when the largest eigenvalue $\lambda_0$ of the one-body-density matrix scales as $\lambda_0 \sim N$, where $N$ is the total number of particles. Putting $\lambda_0 \sim…

Statistical Mechanics · Physics 2018-12-31 Andrea Colcelli , Giuseppe Mussardo , Andrea Trombettoni

Energy filter methods in combination with quantum simulation can efficiently access the properties of quantum many-body systems at finite energy densities [Lu et al. PRX Quantum 2, 020321 (2021)]. Classically simulating this algorithm with…

Quantum Physics · Physics 2024-07-08 Maxine Luo , Rahul Trivedi , Mari Carmen Bañuls , J. Ignacio Cirac

We have numerically studied the bosonic off-diagonal long range order, introduced by Read to describe the ordering in ideal quantum Hall states, for noninteracting electrons in random potentials confined to the lowest Landau level. We find…

Condensed Matter · Physics 2009-10-22 S. L. Sondhi , M. P. Gelfand

We constructed the one-particle spectral functions (diagonal and off-diagonal) which reproduce BCS for weak coupling and which take into account the effect of correlations on superconductivity in the attractive Hubbard model. The diagonal…

Condensed Matter · Physics 2016-08-17 J. J. Rodríguez-Núñez , C. E. Cordeiro , A. Delfino

We analyze an experimentally realizable model of bosons in a zig-zag optical lattice, showing that by rapidly modulating the magnetic field one can tune interaction parameters and realize an analog of the Haldane phase. We explain how…

Quantum Gases · Physics 2018-02-27 Junjun Xu , Qiang Gu , Erich J. Mueller

We investigate the topological properties of the bond order wave phase arising in the extended Fermi-Hubbard model. In particular, we uncover a topological sector, which remained elusive in previous finite-size numerical studies due to…

Using numerical simulations of a model disk system, we demonstrate that a machine learning generated order parameter can detect depinning transitions and different dynamic flow phases in systems driven far from equilibrium. We specifically…

Statistical Mechanics · Physics 2024-04-23 D. McDermott , C. J. O. Reichhardt , C. Reichhardt

The extended Hubbard model with a nearest-neighbor Coulomb repulsion on the square lattice is studied to obtain insight into the phase diagram of cuprate high $T_c$ superconductors (HTS). To pursue the hidden-order scenario proposed in [S.…

Superconductivity · Physics 2019-07-17 Yuhei Hirose , Akihide Oguchi , Yoshiyuki Fukumoto

We use the dual boson approach to reveal the phase diagram of the Fermi-Hubbard model with long-range dipole-dipole interactions. By using a large-scale finite-temperature calculation on a $64 \times 64$ square lattice we demonstrate the…

Quantum Gases · Physics 2015-08-19 Erik G. C. P. van Loon , Mikhail I. Katsnelson , Mikhail Lemeshko