Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1002.3085 · Physical Review Letters

Dynamical Unbinding Transition in a Periodically Driven Mott Insulator

Fabian Hassler, Andreas Rüegg, Manfred Sigrist, G. Blatter

Published Jun 1, 2010• 10 citations
arXivHTMLPDF

Abstract

We study the double occupancy in a fermionic Mott insulator at half filling generated via a dynamical periodic modulation of the hopping amplitude. Tuning the modulation amplitude, we describe a crossover in the nature of doublon-holon excitations from a Fermi golden rule regime to damped Rabi oscillations. The decay time of excited states diverges at a critical modulation strength, signaling the transition to a dynamically bound nonequilibrium state of doublon-holon pairs. A setup using a fermionic quantum gas should allow the study of the critical exponents.

DOI
10.1103/physrevlett.104.220402

Related papers

Coherent pumping of a Mott insulator: Fermi golden rule versus Rabi oscillations

Fabian Hassler, Sebastian D. Huber

Cold atoms provide a unique arena to study many-body systems far from equilibrium. Furthermore, phases in cold atom systems are conveniently investigated by dynamical probes pushing the system out of equilibrium. Here, we discuss the pumping of doubly occupied sites in a fermionic Mott insulator by a periodic modulation of the hopping amplitude. We show that deep in the insulating phase the many-body system can be mapped onto an effective two-level system which performs coherent Rabi oscillations due to the driving. Coupling of the two-level system to the remaining degrees of freedom renders the Rabi oscillations damped. We compare this scheme to an alternative description where the particles are incoherently pumped into a broad continuum.

arXiv:0812.0532•Physical Review A•Feb 25, 2009•9 citations

Response to dynamical modulation of the optical lattice for fermions in the Hubbard model

Zhaoxin Xu, Simone Chiesa, Shuxiang Yang +5 more

Fermionic atoms in a periodic optical lattice provide a realization of the single-band Hubbard model. Using quantum Monte Carlo simulations along with the maximum-entropy method, we evaluate the effect of a time-dependent perturbative modulation of the optical lattice amplitude on atomic correlations, revealed in the fraction of doubly occupied sites. We find that the effect of modulation depends strongly on the filling---the response of the double occupation is significantly different in the half-filled Mott insulator from that in the doped Fermi liquid region.

arXiv:1104.1739•Physical Review A•Aug 25, 2011•12 citations

Enhancement of local pairing correlations in periodically driven Mott insulators

Francesco Peronaci, Olivier Parcollet, Marco Schirò

Periodically driving strongly correlated systems offers new opportunities to control their properties. Heating effects, however, often hinder the actual realization of interesting states. Here, the authors study a model of a Mott insulator with a time-periodic Hubbard on-site potential $U$ coupled to a dissipative reservoir. Tuning the frequency above a characteristic value, they unveil a regime where the creation of doublon-holon excitations is greatly enhanced with respect to equilibrium. Below a certain effective temperature, this far-from-equilibrium state would give rise to the exotic $\ensuremath{\eta}$-pairing superconduting state.

arXiv:1904.00857•Physical review. B./Physical review. B•Apr 1, 2020•48 citations

Controllable finite-momenta dynamical quasicondensation in the periodically driven one-dimensional Fermi-Hubbard model

Matthew W. Cook, Stephen R. L. Clark

In the strongly interacting limit of the Hubbard model localized double occupancies form effective hard-core bosonic excitations, called doublons, which are long lived due to energy conservation. Using time-dependent density-matrix renormalization group methods we investigate numerically the dynamics of doublons arising from the sudden expansion of a spatially confined band-insulating state in one spatial dimension. By analyzing the occupation scaling of the natural orbitals within the many-body state, we show that doublons dynamically quasicondense at the band edges, consistent with the spontaneous emergence of an $\ensuremath{\eta}$ quasicondensate. Building on this, we study the effect of periodically driving the system during the expansion. Floquet analysis reveals that doublon hopping and doublon repulsion are strongly renormalized by the drive, breaking the $\ensuremath{\eta}\text{\ensuremath{-}}\mathrm{SU}(2)$ symmetry of the Hubbard model. Numerical simulation of the driven expansion dynamics demonstrates that the momentum in which doublons quasicondense can be controlled by the driving amplitude. These results point to new pathways for engineering nonequilibrium condensates in fermionic cold-atom experiments and are potentially relevant to driven solid-state systems.

arXiv:1906.05412•Physical Review A•Mar 9, 2020•10 citations

Probing quasiparticle excitations in a doped Mott insulator via Friedel oscillations

Anurag Banerjee, Emile Pangburn, C. Pépin +1 more

In this work, we investigate impurity-induced Friedel oscillations in the doped two-dimensional Hubbard model, focusing on the role of holon and doublon excitations. We show that weak impurities, due to the non-fermionic nature of the underlying quasiparticles, induce Friedel oscillations whose behavior is consistent with an effective non-interacting theory for these quasiparticles, and whose wavevector reflects the violation of Luttinger's theorem. At larger impurity strength, the system transitions to a phase-separated state composed of coexisting Mott-insulating (half-filled) and hole-rich regions. Within the composite operator framework, this phase separation arises from a competition between the kinetic energy of holons and the tendency to form tightly bound holon-doublon pairs. Our results offer new insights into the nature of charge carriers and the emergent electronic phases in the doped Mott regime.

arXiv:2505.24300•Physical review. B./Physical review. B•Sep 15, 2025•0 citations

Holon-doublon binding as the mechanism for the Mott transition

Peter Prelovšek, J. Kokalj, Zala Lenarčič +1 more

We study the binding of a holon to a doublon in a half-filled Hubbard model as the mechanism of the zero-temperature metal-insulator transition. In a spin polarized system a single holon-doublon (HD) pair exhibits a binding transition on a 3D lattice, or a sharp crossover on a 2D lattice, corresponding well to the standard Mott transition in unpolarized systems. We extend the HD-pair study towards nonpolarized systems by considering more general spin background and by treating the finite HD density within a BCS-type approximation. Both approaches lead to a discontinuous transition away from the fully polarized system and give density correlations consistent with numerical results on a triangular lattice.

arXiv:1505.01498•Physical Review B•Dec 31, 2015•17 citations
We study the double occupancy in a fermionic Mott insulator at half filling generated via a dynamical periodic modulation of the hopping amplitude. Tuning the modulation amplitude, we describe a crossover in the nature of doublon-holon excitations from a Fermi golden rule regime to damped Rabi oscillations. The decay time of excited states diverges at a critical modulation strength, signaling the transition to a dynamically bound nonequilibrium state of doublon-holon pairs. A setup using a fermionic quantum gas should allow the study of the critical exponents.
Cold atoms provide a unique arena to study many-body systems far from equilibrium. Furthermore, phases in cold atom systems are conveniently investigated by dynamical probes pushing the system out of equilibrium. Here, we discuss the pumping of doubly occupied sites in a fermionic Mott insulator by a periodic modulation of the hopping amplitude. We show that deep in the insulating phase the many-body system can be mapped onto an effective two-level system which performs coherent Rabi oscillations due to the driving. Coupling of the two-level system to the remaining degrees of freedom renders the Rabi oscillations damped. We compare this scheme to an alternative description where the particles are incoherently pumped into a broad continuum.
Fermionic atoms in a periodic optical lattice provide a realization of the single-band Hubbard model. Using quantum Monte Carlo simulations along with the maximum-entropy method, we evaluate the effect of a time-dependent perturbative modulation of the optical lattice amplitude on atomic correlations, revealed in the fraction of doubly occupied sites. We find that the effect of modulation depends strongly on the filling---the response of the double occupation is significantly different in the half-filled Mott insulator from that in the doped Fermi liquid region.
Periodically driving strongly correlated systems offers new opportunities to control their properties. Heating effects, however, often hinder the actual realization of interesting states. Here, the authors study a model of a Mott insulator with a time-periodic Hubbard on-site potential UUU coupled to a dissipative reservoir. Tuning the frequency above a characteristic value, they unveil a regime where the creation of doublon-holon excitations is greatly enhanced with respect to equilibrium. Below a certain effective temperature, this far-from-equilibrium state would give rise to the exotic $\ensuremath{\eta}$-pairing superconduting state.
In the strongly interacting limit of the Hubbard model localized double occupancies form effective hard-core bosonic excitations, called doublons, which are long lived due to energy conservation. Using time-dependent density-matrix renormalization group methods we investigate numerically the dynamics of doublons arising from the sudden expansion of a spatially confined band-insulating state in one spatial dimension. By analyzing the occupation scaling of the natural orbitals within the many-body state, we show that doublons dynamically quasicondense at the band edges, consistent with the spontaneous emergence of an $\ensuremath{\eta}$ quasicondensate. Building on this, we study the effect of periodically driving the system during the expansion. Floquet analysis reveals that doublon hopping and doublon repulsion are strongly renormalized by the drive, breaking the $\ensuremath{\eta}\text{\ensuremath{-}}\mathrm{SU}(2)$ symmetry of the Hubbard model. Numerical simulation of the driven expansion dynamics demonstrates that the momentum in which doublons quasicondense can be controlled by the driving amplitude. These results point to new pathways for engineering nonequilibrium condensates in fermionic cold-atom experiments and are potentially relevant to driven solid-state systems.
In this work, we investigate impurity-induced Friedel oscillations in the doped two-dimensional Hubbard model, focusing on the role of holon and doublon excitations. We show that weak impurities, due to the non-fermionic nature of the underlying quasiparticles, induce Friedel oscillations whose behavior is consistent with an effective non-interacting theory for these quasiparticles, and whose wavevector reflects the violation of Luttinger's theorem. At larger impurity strength, the system transitions to a phase-separated state composed of coexisting Mott-insulating (half-filled) and hole-rich regions. Within the composite operator framework, this phase separation arises from a competition between the kinetic energy of holons and the tendency to form tightly bound holon-doublon pairs. Our results offer new insights into the nature of charge carriers and the emergent electronic phases in the doped Mott regime.
We study the binding of a holon to a doublon in a half-filled Hubbard model as the mechanism of the zero-temperature metal-insulator transition. In a spin polarized system a single holon-doublon (HD) pair exhibits a binding transition on a 3D lattice, or a sharp crossover on a 2D lattice, corresponding well to the standard Mott transition in unpolarized systems. We extend the HD-pair study towards nonpolarized systems by considering more general spin background and by treating the finite HD density within a BCS-type approximation. Both approaches lead to a discontinuous transition away from the fully polarized system and give density correlations consistent with numerical results on a triangular lattice.