Anomalous Spin-Charge Separation in a Driven Hubbard System

Gao, H.; Coulthard, Jonathan R.; Jaksch, Dieter; Mur-Petit, Jordi

doi:10.1103/physrevlett.125.195301

Cited by 13 publications

(15 citation statements)

References 71 publications

(129 reference statements)

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“…These results point to the possibility of accessing in a controlled manner regimes where density (or charge) and spin correlations compete in new ways, which can lead to novel exotic phenomena; cf. [52]. More generally, our findings illustrate the potential of out-of-equilibrium studies to provide new insights into the interplay between the density and spin degrees of freedom in paradigmatic models of condensedmatter physics.…”

Section: Discussionsupporting

confidence: 52%

“…The picture gets progressively more involved as more pairs are added to the system. Close to half-filling, due in part to the scarcity of free bonds, neither a description in terms of single particles nor in terms of singlet pairs is sufficient even if the single-particle hopping is fully suppressed; we explore that situation in [52].…”

Section: B Two Singlet Pairsmentioning

confidence: 99%

“…More specifically, in the usual t-J model as a limit of the repulsive Hubbard model, the superexchange interaction strength, J, is always much smaller than NN hopping strength, t, and the strength of singlet pair hopping (irrelevant at halffilling) cannot be tuned relative to J. The driving, however, allows us to enter unusual regimes where J > t and the pair-hopping strength can be tuned, which lead to exotic behaviors such as an anomalous spin-charge separation regime due to the increased competition between superconducting and magnetic correlations [52]. In this work, we identify a FIG.…”

Section: Introductionmentioning

confidence: 99%

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Controlling magnetic correlations in a driven Hubbard system far from half-filling

et al. 2020

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We propose using ultracold fermionic atoms trapped in a periodically shaken optical lattice as a quantum simulator of the t-J Hamiltonian, which describes the dynamics in doped antiferromagnets and is thought to be relevant to the problem of high-temperature superconductivity in the cuprates. We show analytically that the effective Hamiltonian describing this system for off-resonant driving is the t-J model with additional pair hopping terms, whose parameters can all be controlled by the drive. We then demonstrate numerically using tensor network methods for a one-dimensional (1D) lattice that a slow modification of the driving strength allows near-adiabatic transfer of the system from the ground state of the underlying Hubbard model to the ground state of the effective t-J Hamiltonian. Finally, we report exact diagonalization calculations illustrating the control achievable on the dynamics of spin-singlet pairs in 2D lattices utilizing this technique with current cold-atom quantum-simulation technology. These results open new routes to explore the interplay between density and spin in strongly correlated fermionic systems through their out-of-equilibrium dynamics.

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Section: Discussionsupporting

confidence: 52%

Section: B Two Singlet Pairsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Controlling magnetic correlations in a driven Hubbard system far from half-filling

et al. 2020

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“…Floquet theory can be used to understand how periodic driving can modify the parameters of the system and create additional terms on top of the undriven Hamiltonian. This renormalization results in an effective Hamiltonian which on transient scales can, for example, favor superconducting prethermal states [12][13][14][15][16][17][18][19][20][21][22][23][24][25], suppress wave-packet spreading and induce dynamical localization in a many-body bosonic gas [26], control spin-charge separation in a fermionic system [27], or stabilize exotic spinliquid states in frustrated systems [28].…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for the steady states of the driven Hubbard model

et al. 2021

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Under the action of coherent periodic driving a generic quantum system will undergo Floquet heating and continuously absorb energy until it reaches a featureless thermal state. The phase-space constraints induced by certain symmetries can, however, prevent this and allow the system to dynamically form robust steady states with off-diagonal long-range order. In this work, we take the Hubbard model on an arbitrary lattice with arbitrary filling and, by simultaneously diagonalizing the two possible SU(2) symmetries of the system, we analytically construct the correlated steady states for different symmetry classes of driving. This construction allows us to make verifiable, quantitative predictions about the long-range particle-hole and spin-exchange correlations that these states can possess. In the case when both SU(2) symmetries are preserved in the thermodynamic limit we show how the driving can be used to form a unique condensate which simultaneously hosts particle-hole and spin-wave order.

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“…A particularly versatile concept is Floquet engineering, where the Hamiltonian of a system is dynamically modified with time-periodic fields, as employed widely in optical lattice experiments [10][11][12][13]. For example, a control of SCS has been proposed through Floquet engineering of the t − J model [14]. In solids, however, a major challenge to implement a similar dynamic control is the heating due to photon absorption from the drive.…”

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confidence: 99%

Ultrafast control of spin-orbital separation probed with time-resolved RIXS

Müller,

Grandi,

Eckstein

2021

Preprint

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Quasi-one-dimensional systems exhibit many-body effects elusive in higher dimensions. A prime example is spin-orbital separation, which has been measured by resonant inelastic X-ray scattering (RIXS) in Sr 2 CuO 3 . Here, we theoretically analyze the time-resolved RIXS spectrum of Sr 2 CuO 3 under the action of a timedependent electric field. We show that the external field can reversibly modify the parameters in the effective t − J model used to describe spinon and orbiton dynamics in the material. For strong driving amplitudes, we find that the spectrum changes qualitatively as a result of reversing the relative spinon to orbiton velocity. The analysis shows that in general, the spin-orbital dynamics in Mott insulators in combination with time-resolved RIXS should provide a suitable platform to explore the reversible control of many-body physics in the solid with strong laser fields.

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Anomalous Spin-Charge Separation in a Driven Hubbard System

Cited by 13 publications

References 71 publications

Controlling magnetic correlations in a driven Hubbard system far from half-filling

Controlling magnetic correlations in a driven Hubbard system far from half-filling

Analytical solution for the steady states of the driven Hubbard model

Ultrafast control of spin-orbital separation probed with time-resolved RIXS

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