Topology by dissipation

By C. Bardyn, M. Baranov, Christina V. Kraus, E. Rico, A. Imamoğlu, Peter Zoller, Sebastian Diehl. 2013

286 citations recorded by the source corpus.

Topological states of fermionic matter can be induced by means of a suitably engineered dissipative dynamics. Dissipation then does not occur as a perturbation, but rather as the main resource for many-body dynamics, providing a targeted cooling into topological phases starting from arbitrary initial states. We explore the concept of topological order in this setting, developing and applying a general theoretical framework based on the system density matrix that replaces the wave function appropriate for the discussion of Hamiltonian ground-state physics. We identify key analogies and differences to the more conventional Hamiltonian scenario. Differences essentially arise from the fact that the properties of the spectrum and of the state of the system are not as tightly related as in the Hamiltonian context. We provide a symmetry-based topological classification of bulk steady states and identify the classes that are achievable by means of quasi-local dissipative processes driving into superfluid paired states. We also explore the fate of the bulk-edge correspondence in the dissipative setting and demonstrate the emergence of Majorana edge modes. We illustrate our findings in one- and two-dimensional models that are experimentally realistic in the context of cold atoms.

Subfields: Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/46a86497ee3775a240d4dfeceb45d45cacfe6018

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantum Electrodynamic Control of Matter: Cavity-Enhanced Ferroelectric Phase Transition (2020, background): “[186] C.”
Topological Phases of Non-Hermitian Systems (2018, background): “A recent work [130] on classifying Gaussian nonequilibrium steady states ρss can be regarded as a specific case of Eq.”
Keldysh field theory for driven open quantum systems (2015, background): “This concerns topologically non-trivial dark states in driven open atomic fermion systems [70, 330] and periodically driven (Floquet) dynamics [331, 332] alike.”
Topological quantum matter with ultracold gases in optical lattices (2016, background): “[108], where a generic mechanism to prepare a mixed topological state [105, 108, 109] corresponding to a Chern insulator at finite temperature has been proposed, based on a local system-bath coupling.”
Quantum trajectories and open many-body quantum systems (2014, background): “Other studies have involved fundamentally different approaches to state preparation, including studies of how to use controlled dissipation to produce new cooling methods [87–91], or to drive the system into desired many-body states - including Bose-Einstein condensates (BECs) or metastable states s”
Exceptional topology of non-Hermitian systems (2019, unknown): “Focusing mostly on the case of pure dissipation (H = 0), the dissipative preparation of topological states within the full Lindblad setting has been investigated (Bardyn et al., 2013; Budich et al., 2015; Diehl et al., 2011; Goldstein, 2019; Tonielli et al., 2020).”
Engineered dissipation for quantum information science (2022, background): “Due to their topical nature, particular efforts have been made to come up with approaches to produce states which either exhibit topological order, or have topologically nontrivial band-structure 49,204,206–211 .”
Topological dissipation in a time-multiplexed photonic resonator network (2021, unknown): “In this sense, our work represents a step towards the experimental realization of photonic topological open quantum systems, where there is an i nteresting interplay between the dark states, quantum jumps and topology 17,27,41 .”
Topological bands for ultracold atoms (2018, unknown): “In this case, the system density operator is Gaussian and the already mentioned tools developed by Bardyn et al. (2013) can be used to characterize its topological properties.”
Geometry of quantum phase transitions (2019, background): “rit of QPTs , NESS criticalities are accompanied by the vanishing of L, a phenomenon known as critical slow down. Although generally accepted as an indicator of dissipative phase transitions at large [124, 377, 126, 378, 379, 380], a vanishing dissipative gap is not a distinguishing feature of NESS ”