Observing Localization in a 2D Quasicrystalline Optical Lattice

Sbroscia, Matteo; Viebahn, Konrad; Carter, Edward; Yu, Jr-Chiun; Gaunt, Alexander L.; Schneider, Ulrich

doi:10.1103/physrevlett.125.200604

Cited by 71 publications

(54 citation statements)

References 27 publications

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“…We have also introduced the local spectral function, which paves the way for studies of the SF-BG transition by studying the growth of superfluid regions, particularly in dimensions greater than one, where the non-equilibrium dynamics are extremely challenging to simulate using exact numerical methods. The measurements proposed here are straightforward and may be conveniently implemented in a wide variety of systems beyond the Bose-Hubbard model, in experimental platforms including spin chains [124], fermionic systems [42] as well as continuous models where the BG phase has recently been shown to exist [83,84,125]. This highlights the potential for a more widespread adoption than other spectroscopic techniques such as momentumresolved Bragg spectroscopy which require more finelytuned experimental setups.…”

Section: Discussion/conclusionmentioning

confidence: 96%

Finding the phase diagram of strongly correlated disordered bosons using quantum quenches

2021

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The question of how the low-energy properties of disordered quantum systems may be connected to exotic localization phenomena at high energy is a key open question in the context of quantum glasses and many-body localization. In Ref.[1], we have shown that key features of the excitation spectrum of a disordered system can be efficiently probed from out-of-equilibrium dynamics following a quantum quench, providing distinctive signatures of the various phases. Here, we extend this work by providing a more in-depth study of the behavior of the quench spectral functions associated to different observables and investigating an extended parameter regime. We provide a detailed introduction to quench spectroscopy for disordered systems and show how spectral properties can be probed using both local operators and two-point correlation functions. We benchmark the technique using the one-dimensional Bose-Hubbard model in the presence of a random external potential, focusing on the low-lying excitations, and demonstrate that quench spectroscopy can distinguish the Mott insulator, superfluid, and Bose glass phases. We then explicitly reconstruct the zero-temperature phase diagram of the disordered Bose-Hubbard at fixed filling using two independent methods, both experimentally accessible via time-of-flight imaging and quantum gas microscopy respectively, and demonstrate that quench spectroscopy can give valuable insights as to the distribution of rare regions within disordered systems.

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Section: Discussion/conclusionmentioning

confidence: 96%

Finding the phase diagram of strongly correlated disordered bosons using quantum quenches

2021

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“…These classical systems were found to remain stable even at zero temperature [ 25 ]. Quasicrystalline properties have been observed in a variety of physical systems, for instance, in nonlinear optics [ 26 , 27 , 28 ], on twisted bilayer graphene [ 29 ] and in ultra-cold trapped atoms [ 30 , 31 ]. In the latter case, quasicrystalline structures generated by means of optical lattices are employed to experimentally investigate remarkable effects such as many-body localization in one and two-dimensions [ 32 ], and have been suggested as a candidate to probe the existence of two-dimensional Bose glasses [ 33 ].…”

Section: Introductionmentioning

confidence: 99%

Zonal Estimators for Quasiperiodic Bosonic Many-Body Phases

Ciardi

Macrì

Cinti

2022

Entropy

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In this work, we explore the relevant methodology for the investigation of interacting systems with contact interactions, and we introduce a class of zonal estimators for path-integral Monte Carlo methods, designed to provide physical information about limited regions of inhomogeneous systems. We demonstrate the usefulness of zonal estimators by their application to a system of trapped bosons in a quasiperiodic potential in two dimensions, focusing on finite temperature properties across a wide range of values of the potential. Finally, we comment on the generalization of such estimators to local fluctuations of the particle numbers and to magnetic ordering in multi-component systems, spin systems, and systems with nonlocal interactions.

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“…Nowadays, many quasicrystalline lattices generated from CPS are experimentally accessible in the optical lattice, using multiple lasers that play a role of high-dimensional degree of freedoms [56][57][58][59][60] . Particularly, the 8-fold rotational symmetric quasicrystalline potential for ultracold atoms has been experimentally demonstrated 59,60 . Moreover, four-dimensional time crystals are in the spotlight as the candidate of the higher-dimensional crystalline materials [61][62][63][64][65][66] .…”

Section: Introductionmentioning

confidence: 99%

Discovery of new quasicrystals from translation of hypercubic lattice

Jeon¹,

Lee²

2021

Preprint

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How are the symmetries encoded in quasicrystals? As a compensation for the lack of translational symmetry, quasicrystals admit non-crystallographic symmetries such as 5-and 8-fold rotations in two-dimensional space. It is originated from the extended crystallography group of high-dimensional lattices and projection onto the physical space having a finite perpendicular window. One intriguing question is : How does the translation operation in high-dimension affect to the quasicrystals as a consequence of the projection? Here, we answer to this question and prove that a simple translation in four-dimensional hypercubic lattice completely determines a distinct rotational symmetry of two-dimensional quasicrystals. In details, by classifying translations in four-dimensional hypercubic lattice, new types of quasicrystals with 2,4 and 8-fold rotational symmetries are discussed. It gives us an important insight that a translation in high-dimensional lattice is intertwined with a rotational symmetry of the quasicrystals. In addition, regarding to the four dimensional matters, it provides a unique way to discover new quasicrystals projected from the recent finding -a four dimensional time crystal.

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Observing Localization in a 2D Quasicrystalline Optical Lattice

Cited by 71 publications

References 27 publications

Finding the phase diagram of strongly correlated disordered bosons using quantum quenches

Finding the phase diagram of strongly correlated disordered bosons using quantum quenches

Zonal Estimators for Quasiperiodic Bosonic Many-Body Phases

Discovery of new quasicrystals from translation of hypercubic lattice

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