Floquet Hamiltonian engineering of an isolated many-body spin system

Geier, Sebastian; Thaicharoen, Nithiwadee; Hainaut, Clément; Franz, Titus; Salzinger, Andre; Tebben, Annika; Grimshandl, David; Zürn, Gerhard; Weidemüller, Matthias

doi:10.1126/science.abd9547

Cited by 78 publications

(29 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The Trotterised longrange Hamiltonian, together with the single-qubit control used to initialise the system here, can be advantageous for studying more many-body physics with quantum simulators. These techniques can be leveraged to explore nonequilibrium Heisenberg dynamics [54,55], topological excitations [65], and more.…”

Section: Discussionmentioning

confidence: 99%

“…We experimentally implement the evolution by interspersing a long-range Ising coupling with global rotations and dynamical-decoupling sequences. Trotterisation of Heisenberg dynamics has been proposed theoretically [50,51], realised experimentally in toy examples [52,53], and used very recently to explore many-body physics in ensembles of Rydberg atoms [54,55]. Here, we demonstrate its effectiveness in many-body experiments with trapped ions.…”

Section: Introductionmentioning

confidence: 92%

See 1 more Smart Citation

Experimental observation of thermalization with noncommuting charges

Kranzl¹,

Lasek²,

Joshi³

et al. 2022

Preprint

View full text Add to dashboard Cite

Quantum simulators have recently enabled experimental observations of quantum many-body systems' internal thermalisation. Often, the global energy and particle number are conserved, and the system is prepared with a well-defined particle number-in a microcanonical subspace. However, quantum evolution can also conserve quantities, or charges, that fail to commute with each other. Noncommuting charges have recently emerged as a subfield at the intersection of quantum thermodynamics and quantum information. Until now, this subfield has remained theoretical. We initiate the experimental testing of its predictions, with a trapped-ion simulator. We prepare 6-15 spins in an approximate microcanonical subspace, a generalisation of the microcanonical subspace for accommodating noncommuting charges, which cannot necessarily have well-defined nontrivial values simultaneously. We simulate a Heisenberg evolution using laser-induced entangling interactions and collective spin rotations. The noncommuting charges are the three spin components. We find that small subsystems equilibrate to near a recently predicted non-Abelian thermal state. This work bridges quantum many-body simulators to the quantum thermodynamics of noncommuting charges, whose predictions can now be tested.

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 92%

Experimental observation of thermalization with noncommuting charges

Kranzl¹,

Lasek²,

Joshi³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…More specifically, Floquet engineering can be applied to modify the band structure of lattice systems [1,3], generate artificial gauge fields [13,14] and design complex interaction processes [15][16][17][18][19][20][21][22][23][24][25]. These remarkable possibilities open the door to the experimental exploration of a broad range of intriguing physical phenomena, such as high-temperature superconductivity [26,27], magnetism [28][29][30], topological physics [3,4,12], many-body localization [31,32], chaosassisted tunneling [33,34], and lattice gauge theories [35,36].…”

Section: Introductionmentioning

confidence: 99%

Floquet engineering of optical nonlinearities: a quantum many-body approach

Goldman¹

2022

Preprint

View full text Add to dashboard Cite

Subjecting a physical system to a time-periodic drive can substantially modify its properties and applications. This Floquet-engineering approach has been extensively applied to a wide range of classical and quantum settings in view of designing synthetic systems with exotic properties. Considering a general class of two-mode nonlinear optical devices, we show that effective optical nonlinearities can be created by subjecting the light field to a repeated pulse sequence, which couples the two modes in a fast and time-periodic manner. The strength of these drive-induced optical nonlinearities, which include an emerging four-wave mixing, can be varied by simply adjusting the pulse sequence. This leads to topological changes in the system's phase space, which can be detected through light intensity and phase measurements. Our proposal builds on an effective-Hamiltonian approach, which derives from a parent quantum many-body Hamiltonian describing driven interacting bosons. As a corollary, our results equally apply to Bose-Einstein condensates in driven double-well potentials, where pair tunneling effectively arises from the periodic pulse sequence. Our scheme offers a practical route to engineer and finely tune exotic nonlinearities and interactions in photonics and ultracold quantum gases.

show abstract

“…The development of ultracold-atom physics as platforms for chip-based matter wave manipulation [1], high-accuracy time keeping systems [2,3], quantum computing and simulation [4][5][6][7] is an active research field. Understanding atom-surface interactions is essential for achieving near-surface atom trapping, as required for the operation of micro-fabricated atom chips.…”

Section: Introductionmentioning

confidence: 99%

Casimir-Polder interactions of Rydberg atoms with graphene-based van der Waals heterostructures

Wongcharoenbhorn¹,

Koller²,

Fromhold³

et al. 2022

Preprint

View full text Add to dashboard Cite

We investigate the thermal Casimir-Polder (CP) potential of 87 Rb atoms in Rydberg nS-states near single-and double-layer graphene. The dependence of the CP potential on parameters such as atom-surface distance, temperature, principal quantum number n and graphene Fermi energy are explored. Through large scale numerical simulations, we show that, in the non-retarded regime, the CP potential is dominated by the non-resonant and evanescent-wave terms which are monotonic, and that, in the retarded regime, the CP potential exhibits spatial oscillations. We identify that the most important contributions to the resonant component of the CP potential come from the nS-nP and nS-(n − 1)P transitions. Scaling of the CP potential as a function of the principal quantum number and temperature is obtained. A heterostructure comprising hexagonal boron nitride layers sandwiched between two graphene layers is also studied. When the boron nitride layer is sufficiently thin, the CP potential can be weakened by changing the Fermi energy of the top graphene layer.Our study provides insights for understanding and controlling CP potentials experienced by Rydberg atoms near single and multi-layer graphene-based van der Waals heterostructures.

show abstract

Floquet Hamiltonian engineering of an isolated many-body spin system

Cited by 78 publications

References 37 publications

Experimental observation of thermalization with noncommuting charges

Experimental observation of thermalization with noncommuting charges

Floquet engineering of optical nonlinearities: a quantum many-body approach

Casimir-Polder interactions of Rydberg atoms with graphene-based van der Waals heterostructures

Contact Info

Product

Resources

About