Suppressing Dissipation in a Floquet-Hubbard System

Viebahn, Konrad; Minguzzi, Joaquín; Sandholzer, Kilian; Walter, Anne-Sophie; Sajnani, Manish; Görg, Frederik; Esslinger, Tilman

doi:10.1103/physrevx.11.011057

Cited by 47 publications

(37 citation statements)

References 38 publications

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“…Also, it has already been possible to create a product CDW in fermionic optical lattice setups [55]. Furthermore, the existing capabilities to implement time-periodic Hamiltonians [64][65][66][67] makes the observation of DQPTs resulting from Floquet engineering very promising. Even though state-of-the-art cold-atom quantum simulators have been created for the Fermi-Hubbard model (V = 0) [57], future developments of the extended model might be motivated by our work.…”

Section: Discussionmentioning

confidence: 99%

“…Our results thus show that the form and time of occurrence of DQPTs can be controlled with a periodic external field, by the amplitude of the driving. In addition to the existing capabilities for implementing Fermi-Hubbard models in cold-atom architectures [6,[54][55][56][57], recent advances in simulating periodic driving of the form ( 22) by mechanical shaking [64][65][66][67] make our proposal a verypromising scheme for observing DQPTs in experiments.…”

Section: Dqpt Induced By Periodic Drivingmentioning

confidence: 99%

“…Furthermore, we establish several cases where a connection to the dynamics of observables can be identified. Finally we show that DQPTs can be induced solely by a time periodic modulation of an on-site potential, which provides a timely strategy for observing such phenomena given the state-of-the-art advances in Floquet engineering with cold fermions in optical lattices [64][65][66][67].…”

Section: Introductionmentioning

confidence: 96%

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Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model

Mendoza-Arenas

2021

Preprint

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Based on tensor network simulations, we discuss the emergence of dynamical quantum phase transitions (DQPTs) in a half-filled one-dimensional lattice described by the extended Fermi-Hubbard model. Considering different initial states, namely noninteracting, metallic, insulating spin and charge density waves, we identify several types of sudden interaction quenches which lead to dynamical criticality. In different scenarios, clear connections between DQPTs and particular properties of the mean double occupation or charge imbalance can be established. Dynamical transitions resulting solely from high-frequency time-periodic modulation are also found, which are well described by a Floquet effective Hamiltonian. State-of-the-art cold-atom quantum simulators constitute ideal platforms to implement several reported DQPTs experimentally.

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Section: Discussionmentioning

confidence: 99%

Section: Dqpt Induced By Periodic Drivingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 96%

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Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model

Mendoza-Arenas

2021

Preprint

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“…The computation of numerically exact Floquet-Bloch bands guides us in our experimental work. The procedure has been described in our previous works [22,23] and in the review by Holthaus [20]. While the relevant physical phenomena are captured by an effective two-band model, the knowledge of the full Floquet band structure is important for practical purposes.…”

Section: Floquet-bloch Bands and Choice Of Shaking Parametersmentioning

confidence: 99%

“…Simplifying the experimental requirements has been addressed on a conceptual level-by proposing to combine simple lattice structures [16,17] with Floquet engineering [18][19][20][21]-but there has been no experimental implementation. Here, we demonstrate topological pumping in a Floquet-Bloch band using a plain sinusoidal lattice potential and twotone driving with frequencies ω and 2ω [22,23]. We adiabatically prepare a near-insulating Floquet band of ultracold fermions via a frequency chirp, which avoids gap closings en route from trivial to topological bands.…”

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confidence: 99%

Topological pumping in a Floquet-Bloch band

Minguzzi,

Zhu,

Sandholzer

et al. 2021

Preprint

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Quantum information geometry of driven CFTs

de Boer,

Godet,

Kastikainen

et al. 2023

J. High Energ. Phys.

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Driven quantum systems exhibit a large variety of interesting and sometimes exotic phenomena. Of particular interest are driven conformal field theories (CFTs) which describe quantum many-body systems at criticality. In this paper, we develop both a spacetime and a quantum information geometry perspective on driven 2d CFTs. We show that for a large class of driving protocols the theories admit an alternative but equivalent formulation in terms of a CFT defined on a spacetime with a time-dependent metric. We prove this equivalence both in the operator formulation as well as in the path integral description of the theory. A complementary quantum information geometric perspective for driven 2d CFTs employs the so-called Bogoliubov-Kubo-Mori (BKM) metric, which is the counterpart of the Fisher metric of classical information theory, and which is obtained from a perturbative expansion of relative entropy. We compute the BKM metric for the universal sector of Virasoro excitations of a thermal state, which captures a large class of driving protocols, and find it to be a useful tool to classify and characterize different types of driving. For Möbius driving by the SL(2, ℝ) subgroup, the BKM metric becomes the hyperbolic metric on the disk. We show how the non-trivial dynamics of Floquet driven CFTs is encoded in the BKM geometry via Möbius transformations. This allows us to identify ergodic and non-ergodic regimes in the driving. We also explain how holographic driven CFTs are dual to driven BTZ black holes with evolving horizons. The deformation of the black hole horizon towards and away from the asymptotic boundary provides a holographic understanding of heating and cooling in Floquet CFTs.

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Suppressing Dissipation in a Floquet-Hubbard System

Cited by 47 publications

References 38 publications

Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model

Dynamical quantum phase transitions in the one-dimensional extended Fermi-Hubbard model

Topological pumping in a Floquet-Bloch band

Quantum information geometry of driven CFTs

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