Optical probing of anisotropic heat transport in the quantum spin ladder Ca9La5Cu24O41

Otter, Marian; Athanasopoulos, G.I.; Hlubek, N.; Montagnese, M.; Labois, Mathieu; Fishman, Dmitry A.; Haan, de Foppe; Singh, Surjeet; Lakehal, Djamel; Giapintzakis, J.; Heß, Christian; Revcolevschi, A.; Loosdrecht, P.H.M. van

doi:10.1016/j.ijheatmasstransfer.2012.01.007

Cited by 18 publications

(20 citation statements)

References 26 publications

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“…A more quantitative analysis of spin-and energy diffusion constants as a function of temperature and J 2 is left for future work. The behavior of the energy spreading in ladders with J 2 = 1 is similar to the analysis of experimental results with complex metal oxides, 64 where a diffusive spreading of heat was observed by measuring temperature profiles in the surface of oxide materials (the initial spatially inhomogeneous temperature profile was induced by laser light). However, a direct and quantitative connection with these experiments can at present not be made since the time scales reached in tDMRG simulations are too short to estimate the temperature dependence of D e (T ).…”

Section: Non-integrable Models: the Two-leg Laddersupporting

confidence: 79%

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Real-time and real-space spin and energy dynamics in one-dimensional spin-12systems induced by local quantum quenches at finite temperatures

2014

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We study the spin-and energy dynamics in one-dimensional spin-1/2 systems induced by local quantum quenches at finite temperatures using a time-dependent density matrix renormalization group method. System sizes are chosen large enough to ensure that the time-dependent data for the accessible time scales represent the behavior in the thermodynamic limit. As a main result, we observe a ballistic spreading of perturbations of the energy density in the integrable spin-1/2 XXZ chain for all temperatures and exchange anisotropies, related to the divergent thermal conductivity in this model and the exact conservation of the energy current. In contrast, the spin dynamics is ballistic in the massless phase, but shows a diffusive behavior at high temperatures in the easy-axis phase in the case of a vanishing background spin density. We extract a quantitative estimate for the spin diffusion constant from the time dependence of the spatial variance of the spin density, which agrees well with values obtained from current-current correlation functions using an Einstein relation. Interestingly, the diffusion constant approaches a constant value deep in the easy-axis regime. As an example for non-integrable models, we consider two-leg ladders, for which we observe indications of diffusive energy and spin dynamics. The relevance of our results for recent experiments with quantum magnets and bosons in optical lattices is discussed.

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Section: Non-integrable Models: the Two-leg Laddersupporting

confidence: 79%

“…We discussed our results in view of recent experiments with quantum magnets 9,64 and bosons in optical lattices. 7 Future experiments with either quantum gases or quantum magnets could provide a quantitative test of our predictions for energy and spin diffusion constants.…”

Section: Summary and Discussionmentioning

confidence: 89%

Real-time and real-space spin and energy dynamics in one-dimensional spin-12systems induced by local quantum quenches at finite temperatures

2014

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“…Nevertheless, there has been an impressive series of experiments focussing mostly on thermal transport in quantum magnets [55][56][57][58][59][60][61][62][63][64][65][66][67][68], reporting remarkably large thermal conductivities in 1D systems [55,69]. The cleanest evidence for ballistic transport in an integrable model has so far been observed in a strongly-interacting 1D Bose gas expanding in an optical lattice [70]: the density profiles of these hard-core bosons are indistinguishable from noninteracting particles and the cloud thus expands ballistically.…”

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confidence: 99%

Proposal for measuring the finite-temperature Drude weight of integrable systems

2017

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Integrable models such as the spin-1/2 Heisenberg chain, the Lieb-Liniger or the one-dimensional Hubbard model are known to avoid thermalization, which was also demonstrated in several quantumquench experiments. Another dramatic consequence of integrability is the zero-frequency anomaly in transport coefficients, which results in ballistic finite-temperature transport, despite the presence of strong interactions. While this aspect of nonergodic dynamics has been known for a long time, there has so far not been any unambiguous experimental realization thereof. We make a concrete proposal for the observation ballistic transport via local quantum quench experiments in fermionic quantum-gas microscopes. Such an experiment would also unveil the coexistence of ballistic and diffusive transport channels in one and the same system and provide a means of measuring finitetemperature Drude weights. The connection between local quenches and linear-response functions is established via time-dependent Einstein relations.Introduction.-Nonergodic dynamics in closed manybody quantum systems is one of the most actively investigated branches of nonequilibrium physics [1][2][3][4]. The canonical examples are either Bethe-ansatz integrable one-dimensional (1D) models such as the spin-1/2 XXZ chain, the Fermi-Hubbard model [5], hard-core bosons [6] or many-body localized systems [7][8][9]. Integrable systems possess an extensive set of local conserved quantities that can constrain the long-time behavior in the relaxation dynamics starting from nonequilibrium initial conditions [10] induced by, e.g., quantum quenches. This leads to the failure of these systems to thermalize with respect to standard thermodynamic ensembles (for a review, see [11]), rooted in the violation of the eigenstate thermalization hypothesis [12][13][14][15].Another prominent consequence of integrability in clean systems is the possibility of anomalous transport properties at finite temperatures and in the linearresponse regime as was shown in a seminal paper by Zotos, Naef, and Prelovšek [16]. Within the Kubo formalism, one decomposes conductivities into a regular part and a zero-frequency contribution with the Drude weight D

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“…(32) and (33) to provide a semiquantitative estimate of the size of the drag as compared to the diagonal conductivities using a set of parameters which might be of relevance to the cuprate spin ladder La 5 Ca 9 Cu 24 O 41 (LCCO). 2,[46][47][48] For the remainder of this work we assume the diagonal scattering times to be temperature dependent but momentum independent. First we consider reduced quantities G S,P,D for the conductivities of the triplons, phonons, and drag.…”

Section: Application To Cuprate Laddersmentioning

confidence: 99%

Thermal drag in spin ladders coupled to phonons

Bartsch¹,

Brenig²

2013

Phys. Rev. B

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We study the spin-phonon drag effect in the magnetothermal transport of spin-1/2 two-leg ladders coupled to lattice degrees of freedom. Using a bond operator description for the triplon excitations of the spin ladder and magnetoelastic coupling to acoustic phonons, we employ the time convolutionless projection operator method to derive expressions for the diagonal and off-diagonal thermal conductivities of the coupled two-component triplon-phonon system. We find that for magnetoelastic coupling strengths and diagonal scattering rates relevant to copper-oxide spin-ladders the drag heat conductivity can be of similar magnitude as the diagonal triplon heat conductivity. Moreover, we show that the drag and diagonal conductivities display very similar overall temperature dependences. Finally, the drag conductivity is shown to be rather susceptible to external magnetic fields.Comment: 9 pages, 4 figures, submitted to Phys. Rev.

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Optical probing of anisotropic heat transport in the quantum spin ladder Ca9La5Cu24O41

Cited by 18 publications

References 26 publications

Real-time and real-space spin and energy dynamics in one-dimensional spin-12systems induced by local quantum quenches at finite temperatures

Real-time and real-space spin and energy dynamics in one-dimensional spin-12systems induced by local quantum quenches at finite temperatures

Proposal for measuring the finite-temperature Drude weight of integrable systems

Thermal drag in spin ladders coupled to phonons

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