Stability of Majorana zero modes with quantum optical lattices

• URL: http://arxiv.org/abs/2408.08559v1
• Date: Fri, 16 Aug 2024 06:44:20 GMT
• Title: Stability of Majorana zero modes with quantum optical lattices
• Authors: Santiago F. Caballero-Benitez,
• Abstract summary: I analyze the emergence of Majorana zero modes (MZM) in a one dimensional ultracold fermionic system confined by an optical lattice inside a high-Q cavity. MZM have potential applications for quantum information as they are topologically protected analogous to the behaviour of the Kitaev chain.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: I analyze the emergence of Majorana zero modes (MZM) in a one dimensional ultracold fermionic system confined by an optical lattice inside a high-Q cavity. This forms a quantum optical lattice due to the cavity backaction, with emergent long range interactions controlled by the light pumped into the system and thus long range pairing. I investigate the possibility of formation and emergence of edge modes using exact diagonalization and singular value decomposition of the Hamiltonian in the Majorana representation, while computing the mass gap of the MZM. I find that under certain conditions MZM appear distinctively. This MZM have potential applications for quantum information as they are topologically protected analogous to the behaviour of the Kitaev chain.

Related papers

• Cavity Control of Topological Qubits: Fusion Rule, Anyon Braiding and Majorana-Schrödinger Cat States [39.58317527488534]
  We investigate the impact of introducing a local cavity within the center of a topological chain. This cavity induces a scissor-like effect that bisects the chain, liberating Majorana zero modes (MZMs) within the bulk. By leveraging the symmetry properties of fermion modes within a two-site cavity, we propose a novel method for generating MZM-polariton Schr"odinger cat states.
  arXiv  Detail & Related papers  (2024-09-06T18:00:00Z)
• Emergent Majorana metal from a chiral spin liquid [50.56734933757366]
  We propose a novel mechanism to explain the emergence of an intermediate gapless spin liquid phase (IGP) in the antiferromagnetic Kitaev model. We show that the Majorana spectral function captures the dynamical spin and dimer correlations obtained by the infinite Projectedangled Pair States (iPEPS) an Entsatz.
  arXiv  Detail & Related papers  (2024-05-20T18:00:01Z)
• Detecting Quantum Anomalies in Open Systems [0.0]
  We introduce a novel and experimentally feasible approach to detect quantum anomalies in open systems. We numerically demonstrate the unavoidable singular behavior of $exp(rmitheta Sz_rm tot)$ for half-integer spin chains.
  arXiv  Detail & Related papers  (2023-12-18T13:29:07Z)
• Macroscopic quantum entanglement between an optomechanical cavity and a continuous field in presence of non-Markovian noise [10.363406065066538]
  We develop a framework to quantify the amount of entanglement in the system numerically. We apply our framework to the case of the Advanced Laser Interferometer Gravitational-Wave Observatory.
  arXiv  Detail & Related papers  (2023-09-21T23:10:29Z)
• Dissipation induced Liouville-Majorana modes in open quantum system [0.0]
  In open systems, topological edge states quickly lose coherence and cannot be used in topological quantum computation and quantum memory. Here we show that for dissipative quantum spin (or fermionic) systems, topologically non-Hermitian Liouville-Majorana edge modes (LMEMs) can survive in the extended Liouville-Fock space.
  arXiv  Detail & Related papers  (2023-05-15T02:38:57Z)
• Bootstrapping the gap in quantum spin systems [0.7106986689736826]
  We use the equations of motion to develop an analogue of the conformal block expansion for matrix elements. The method can be applied to any quantum mechanical system with a local Hamiltonian.
  arXiv  Detail & Related papers  (2022-11-07T19:07:29Z)
• Noise-resilient Edge Modes on a Chain of Superconducting Qubits [103.93329374521808]
  Inherent symmetry of a quantum system may protect its otherwise fragile states. We implement the one-dimensional kicked Ising model which exhibits non-local Majorana edge modes (MEMs) with $mathbbZ$ parity symmetry. MEMs are found to be resilient against certain symmetry-breaking noise owing to a prethermalization mechanism.
  arXiv  Detail & Related papers  (2022-04-24T22:34:15Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
  We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators. We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure. The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
  arXiv  Detail & Related papers  (2021-05-27T18:00:02Z)
• Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature [62.997667081978825]
  We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
  arXiv  Detail & Related papers  (2021-01-21T14:33:34Z)
• Spin Entanglement and Magnetic Competition via Long-range Interactions in Spinor Quantum Optical Lattices [62.997667081978825]
  We study the effects of cavity mediated long range magnetic interactions and optical lattices in ultracold matter. We find that global interactions modify the underlying magnetic character of the system while introducing competition scenarios. These allow new alternatives toward the design of robust mechanisms for quantum information purposes.
  arXiv  Detail & Related papers  (2020-11-16T08:03:44Z)

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.