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Atomic and Laser Physics
Credit: Jack Hobhouse

Joseph Tindall

Postdoctoral Research Assistant

Research theme

  • Quantum information and computation
  • Quantum optics & ultra-cold matter

Sub department

  • Atomic and Laser Physics
joseph.tindall@physics.ox.ac.uk
Clarendon Laboratory, room 316.8
Google Scholar Profile
  • About
  • Publications

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

Physical Review Letters American Physical Society (APS) 123:3 (2019) 030603

Authors:

J Tindall, B Buča, JR Coulthard, D Jaksch
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Quantum synchronisation enabled by dynamical symmetries and dissipation

New Journal of Physics IOP Publishing 22 (2019) 013026

Authors:

Joseph Tindall, CS Munoz, Berislav Buca, D Jaksch

Abstract:

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 symmetry-based conditions which, when satisfied, guarantee completely synchronous, entangled limit cycles between the individual constituents of a generic open quantum system - no restrictions are placed on its microscopic details. We describe these systems as posssessing a strong dynamical symmetry and we prove that, to first order, they are completely robust to symmetry-breaking perturbations. Using these ideas we identify two central examples where synchronisation arises via this qualitatively new mechanism: a chain of quadratically dephased spin-1s and the many-body charge-dephased Hubbard model. In both cases, due to their dynamical symmetries, perfect phase-locking occurs throughout the system, regardless of the specific microscopic parameters or initial states. Furthermore, when these systems are perturbed, their non-linear responses elicit long-lived signatures of both phase and frequency-locking.
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Non-stationary coherent quantum many-body dynamics through dissipation

Nature Communications Nature Research (part of Springer Nature)

Authors:

Berislav Buca, Joseph Tindall, Dieter Jaksch

Abstract:

The assumption that physical systems relax to a stationary state in the long-time limit underpins statistical physics and much of our intuitive understanding of scientific phenomena. For isolated systems this follows from the eigenstate thermalization hypothesis. When an environment is present the expectation is that all of phase space is explored, eventually leading to stationarity. Notable exceptions are decoherence-free subspaces that have important implications for quantum technologies. These have been studied for systems with a few degrees of freedom only. Here we identify simple and generic conditions for dissipation to prevent a quantum many-body system from ever reaching a stationary state. We go beyond dissipative quantum state engineering approaches towards controllable long-time non-stationary dynamics typically associated with macroscopic complex systems. This coherent and oscillatory evolution constitutes a dissipative version of a quantum time-crystal. We discuss the possibility of engineering such complex dynamics with fermionic ultracold atoms in optical lattices.
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Photo-molecular high temperature superconductivity

Physical Review X American Physical Society 10 (2020) 031028

Authors:

M Buzzi, D Nicoletti, M Fechner, N Tancogne-Dejean, MA Sentef, A Georges, T Biesner, E Uykur, M Dressel, A Henderson, T Siegrist, JA Schlueter, K Miyagawa, K Kanoda, M-S Nam, Arzhang Ardavan, Jonathan Coulthard, Joseph Tindall, Frank Schlawin, Dieter Jaksch, Andrea Cavalleri

Abstract:

The properties of organic conductors are often tuned by the application of chemical or external pressure, which change orbital overlaps and electronic bandwidths while leaving the molecular building blocks virtually unperturbed. Here, we show that, unlike any other method, light can be used to manipulate the local electronic properties at the molecular sites, giving rise to new emergent properties. Targeted molecular excitations in the charge-transfer salt κ−(BEDT−TTF)2 Cu[N(CN)2] Br induce a colossal increase in carrier mobility and the opening of a superconducting optical gap. Both features track the density of quasiparticles of the equilibrium metal and can be observed up to a characteristic coherence temperature T∗≃50K, far higher than the equilibrium transition temperature TC=12.5K. Notably, the large optical gap achieved by photoexcitation is not observed in the equilibrium superconductor, pointing to a light-induced state that is different from that obtained by cooling. First-principles calculations and model Hamiltonian dynamics predict a transient state with long-range pairing correlations, providing a possible physical scenario for photomolecular superconductivity.
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Analytical solution for the steady states of the driven Hubbard model

Physical Review B American Physical Society 103:3 (2021) 35146

Authors:

J Tindall, F Schlawin, Ma Sentef, D Jaksch

Abstract:

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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