Topology by Dissipation: Majorana Bosons in Metastable Quadratic Markovian Dynamics

• URL: http://arxiv.org/abs/2104.03985v2
• Date: Fri, 10 Dec 2021 19:25:16 GMT
• Title: Topology by Dissipation: Majorana Bosons in Metastable Quadratic Markovian Dynamics
• Authors: Vincent P. Flynn, Emilio Cobanera, Lorenza Viola
• Abstract summary: Majorana bosons, that is, tight bosonic analogs of the Majorana fermionic quasiparticles of condensed matter physics, are forbidden for gapped free bosonic matter within a standard Hamiltonian scenario. We show how the interplay between dynamical metastability and nontrivial bulk topology makes their emergence possible in noninteracting bosonic chains undergoing Markovian dissipation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Majorana bosons, that is, tight bosonic analogs of the Majorana fermionic quasiparticles of condensed matter physics, are forbidden for gapped free bosonic matter within a standard Hamiltonian scenario. We show how the interplay between dynamical metastability and nontrivial bulk topology makes their emergence possible in noninteracting bosonic chains undergoing Markovian dissipation. This leads to a distinctive form of topological metastability, whereby a conserved Majorana boson localized on one edge is paired, in general, with a symmetry generator localized on the opposite edge. We argue that Majorana bosons are robust against disorder and identifiable by signatures in the zero-frequency steady-state power spectrum. Our results suggest that symmetry-protected topological phases for free bosons may arise in transient metastable regimes, which persist over practical timescales.

Related papers

• Topological zero modes and edge symmetries of metastable Markovian bosonic systems [0.0]
  We study tight bosonic analogs of the Majorana and Dirac edge modes characteristic of topological superconductors and insulators. We show the possibility of anomalous parity dynamics for a bosonic cat state prepared in a topologically metastable system. Our results point to a new paradigm of genuine symmetry-protected topological physics in free bosons.
  arXiv  Detail & Related papers  (2023-06-23T18:00:03Z)
• Softening of Majorana edge states by long-range couplings [77.34726150561087]
  Long-range couplings in the Kitaev chain is shown to modify the universal scaling of topological states close to the critical point. We prove that the Majorana states become increasingly delocalised at a universal rate which is only determined by the interaction range.
  arXiv  Detail & Related papers  (2023-01-29T19:00:08Z)
• Measurement phase transitions in the no-click limit as quantum phase transitions of a non-hermitean vacuum [77.34726150561087]
  We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians. We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
  arXiv  Detail & Related papers  (2023-01-18T09:26:02Z)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Majorana-like oscillation for edge states in one-dimensional topological chain with dissipative couplings [6.672381426817075]
  Majorana modes with near zero energy play an important role for ascertaining Majorana fermions. We show that common environments shared by each pair of the nearest neighbour sites in the Su-Schrieffer-Heeger chain can result in dissipative couplings. The controllable topology parameter of the SSHc plays the role of the magnetic field in the nanowire for controlling Majorana oscillation.
  arXiv  Detail & Related papers  (2021-09-10T06:46:05Z)
• Higher-order topological quantum paramagnets [0.0]
  Quantum paramagnets are strongly-correlated phases of matter where competing interactions frustrate magnetic order down to zero temperature. In certain cases, quantum fluctuations induce instead topological order, supporting, in particular, fractionalized quasi-particle excitations. We show how magnetic frustration can also give rise to higher-order topological properties.
  arXiv  Detail & Related papers  (2021-07-21T14:47:32Z)
• $\mathbb{Z}_2$ phases and Majorana spectroscopy in paired Bose-Hubbard chains [0.0]
  We investigate the Bose-Hubbard chain in the presence of nearest-neighbor pairing. We describe a possible cold-atom realization of the paired Bose-Hubbard model in a biased zig-zag optical lattice with reservoir-induced pairing.
  arXiv  Detail & Related papers  (2020-12-04T03:20:11Z)
• Unraveling the topology of dissipative quantum systems [58.720142291102135]
  We discuss topology in dissipative quantum systems from the perspective of quantum trajectories. We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
  arXiv  Detail & Related papers  (2020-07-12T11:26:02Z)
• Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions [72.46695228124449]
  We study a one-dimensional polaronic topological superconductor with phonon-dressed $p$-wave pairing. We show that when the memory depth increases, the Majorana edge dynamics transits from relaxing monotonically to a plateau of substantial value into a collapse-and-buildup behavior.
  arXiv  Detail & Related papers  (2020-06-24T07:32:51Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)
• Deconstructing effective non-Hermitian dynamics in quadratic bosonic Hamiltonians [0.0]
  We show that stability-to-instability transitions may be classified in terms of a suitably generalized $mathcalPmathcalT$ symmetry. We characterize the stability phase diagram of a bosonic analogue to the Kitaev-Majorana chain under a wide class of boundary conditions. Our analysis also reveals that boundary conditions that support Majorana zero modes in the fermionic Kitaev chain are precisely the same that support stability in the bosonic chain.
  arXiv  Detail & Related papers  (2020-03-06T19:30:51Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.