Heating-Induced Long-Range 
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 Pairing in the Hubbard Model

Tindall, Joseph; Buča, Berislav; Coulthard, Jonathan R.; Jaksch, Dieter

doi:10.1103/physrevlett.123.030603

Cited by 93 publications

(90 citation statements)

References 58 publications

(101 reference statements)

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“…As discussed in section 2.2 this symmetry in the imaginary modes is seen for local, translationally-invariant dephasing in an interacting system [25,31]. Hence, the system will undergo completely nonlinear response to peturbations away from the dynamical symmetry regime.…”

Section: Perturbations Away From the Dynamical Symmetry Regimementioning

confidence: 87%

“…Consequently, the system will be perfectly synchronised as all the bodies in the system will be locked to the same frequency and phaseindependent of the specific value of any microscopic parameters. Recent work has shown that the interplay between interactions and local, homogeneous dephasing in an open quantum system can 'wash' out any geometry associated with the system: creating steady states with offdiagonal long-range order and ensuring they, along with any strong dynamical symmetry operators, are completely translationally symmetric (see [25,31]). These states and operators form a complete basis for the long-time density matrix of the system.…”

Section: Quantum Synchronisation Via Dynamical Symmetries Interactiomentioning

confidence: 99%

“…Hence, even if the interaction strength is small, the system will eventually reach a synchronised state (in experimental setups care should also be taken that the timescale on which synchronisation occurs is shorter than the coherence time of the system). Moreover, we emphasise that highly controllable quantum systems such as lattices of ultracold atoms immersed in a BEC [25,31] can be engineered to accurately implement dynamics described by local master equations.…”

Section: Quantum Synchronisation Via Dynamical Symmetries Interactiomentioning

confidence: 99%

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Quantum synchronisation enabled by dynamical symmetries and dissipation

et al. 2020

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In nature, instances of synchronisation abound across a diverse range of environments. In the quantum regime, however, synchronisation is typically observed by identifying an appropriate parameter regime in a specific system. In this work we show that this need not be the case, identifying conditions which, when satisfied, guarantee that the individual constituents of a generic open quantum system will undergo completely synchronous limit cycles which are, to first order, robust to symmetry-breaking perturbations. We then describe how these conditions can be satisfied by the interplay between several elements: interactions, local dephasing and the presence of a strong dynamical symmetry-an operator which guarantees long-time non-stationary dynamics. These elements cause the formation of entanglement and off-diagonal long-range order which drive the synchronised response of the system. To illustrate these ideas we present two central examples: a chain of quadratically dephased spin-1s and the many-body charge-dephased Hubbard model. In both cases perfect phase-locking occurs throughout the system, regardless of the specific microscopic parameters or initial states. Furthermore, when these systems are perturbed, their nonlinear responses elicit longlived signatures of both phase and frequency-locking.

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Section: Perturbations Away From the Dynamical Symmetry Regimementioning

confidence: 87%

Section: Quantum Synchronisation Via Dynamical Symmetries Interactiomentioning

confidence: 99%

Section: Quantum Synchronisation Via Dynamical Symmetries Interactiomentioning

confidence: 99%

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Quantum synchronisation enabled by dynamical symmetries and dissipation

et al. 2020

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“…The Hubbard model has a rich symmetry structure which has made it a natural environment for inducing exotic non-equilibrium phases through dissipation [52,53].…”

Section: Hubbard Modelmentioning

confidence: 99%

Stationary state degeneracy of open quantum systems with non-abelian symmetries

Zhang

Tindall

Mur-Petit

et al. 2020

J. Phys. A: Math. Theor.

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We study the null space degeneracy of open quantum systems with multiple non-Abelian, strong symmetries.By decomposing the Hilbert space representation of these symmetries into an irreducible representation involving the direct sum of multiple, commuting, invariant subspaces we derive a tight lower bound for the stationary state degeneracy. We apply these results within the context of open quantum many-body systems, presenting three illustrative examples: a fullyconnected quantum network, the XXX Heisenberg model and the Hubbard model. We find that the derived bound, which scales at least cubically in the system size the SU (2) symmetric cases, is often saturated. Moreover, our work provides a theory for the systematic block-decomposition of a Liouvillian with non-Abelian symmetries, reducing the computational difficulty involved in diagonalising these objects and exposing a natural, physical structure to the steady states -which we observe in our examples.Submitted to: J. Phys. A: Math. Theor.

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“…(10)- (11). This points to the importance of the role of charges in realistic non-equilibrium processes, such as equilibration in quasi-integrable systems [24], and dissipation and relaxation in driven systems with conservation laws [42,43]. A case of particular theoretical interest for future exploration arises when the charges supported by the Hamiltonian do not commute with each other [25,[44][45][46][47].…”

Section: Resultsmentioning

confidence: 99%

Fluctuations of work in realistic equilibrium states of quantum systems with conserved quantities

Mur-Petit

Relaño

Molina

et al. 2020

SciPost Phys. Proc.

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The out-of-equilibrium dynamics of quantum systems is one of the most fascinating problems in physics, with outstanding open questions on issues such as relaxation to equilibrium. An area of particular interest concerns few-body systems, where quantum and thermal fluctuations are expected to be especially relevant. In this contribution, we present numerical results demonstrating the impact of conserved quantities (or 'charges') in the outcomes of out-of-equilibrium measurements starting from realistic equilibrium states on a few-body system implementing the Dicke model.

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Heating-Induced Long-Range η Pairing in the Hubbard Model

Cited by 93 publications

References 58 publications

Quantum synchronisation enabled by dynamical symmetries and dissipation

Quantum synchronisation enabled by dynamical symmetries and dissipation

Stationary state degeneracy of open quantum systems with non-abelian symmetries

Fluctuations of work in realistic equilibrium states of quantum systems with conserved quantities

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