Person: Samajdar, Rhine
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Samajdar
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Rhine
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Samajdar, Rhine
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Publication Enhanced Thermal Hall Effect in the Square-Lattice Néel State(Springer Science and Business Media LLC, 2019-10-07) Samajdar, Rhine; Scheurer, Mathias; Chatterjee, Shubhayu; Guo, Haoyu; Xu, Cenke; Sachdev, SubirRecent experiments on several cuprate compounds have identified an enhanced thermal Hall response in the pseudogap phase. Most strikingly, this enhancement persists even in the undoped system, which challenges our understanding of the insulating parent compounds. To explain these surprising observations, we study the quantum phase transition of a square-lattice antiferromagnet from a confining Neel state to a state with coexisting Neel and semion topological order. The transition is driven by an applied magnetic field and involves no change in the symmetry of the state. The critical point is described by a strongly-coupled conformal field theory with an emergent global SO(3) symmetry. The field theory has four different formulations in terms of SU(2) or U(1) gauge theories, which are all related by dualities; we relate all four theories to the lattice degrees of freedom. We show how proximity of the confining Neel state to the critical point can explain the enhanced thermal Hall effect seen in experiment.Publication Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator(Springer Nature, 2019-04) Keesling, Alexander; Omran, Ahmed; Levine, Harry; Bernien, Hannes; Pichler, Hannes; Choi, Soonwon; Samajdar, Rhine; Sachdev, Subir; Greiner, Markus; Lukin, MikhailQuantum phase transitions (QPTs) involve transformations between different states of matter that are driven by quantum fluctuations. These fluctuations play a dominant role in the quantum critical region surrounding the transition point, where the dynamics are governed by the universal properties associated with the QPT. While time-dependent phenomena associated with classical, thermally driven phase transitions have been extensively studied in systems ranging from the early universe to Bose Einstein Condensates, understanding critical real-time dynamics in isolated, non-equilibrium quantum systems is an outstanding challenge. Here, we use a Rydberg atom quantum simulator with programmable interactions to study the quantum critical dynamics associated with several distinct QPTs. By studying the growth of spatial correlations while crossing the QPT, we experimentally verify the quantum Kibble-Zurek mechanism (QKZM) for an Ising-type QPT, explore scaling universality, and observe corrections beyond QKZM predictions. This approach is subsequently used to measure the critical exponents associated with chiral clock models, providing new insights into exotic systems that have not been understood previously, and opening the door for precision studies of critical phenomena, simulations of lattice gauge theories and applications to quantum optimization.