Visualizing emergent phenomena in quantum materials: from Majorana zero mode to many-body correlations

We demonstrate that a combination of Majorana edge modes (MEMs) and Majorana zero modes (MZMs) located in the vortex cores of two-dimensional topological superconductors represent a new platform for the efficient implementation of fault-tolerant quantum gates. By calculating the full many-body dynamics of the system, we demonstrate the successful simulation and visualization of $Z$ -, $X$ - and Hadamard gates, with MEMs being functionalized as quantum memory. Our results open a new platform for the efficient implementation of fault-tolerant quantum computing.We demonstrate that a combination of Majorana edge modes (MEMs) and Majorana zero modes (MZMs) located in the vortex cores of two-dimensional topological superconductors represent a new platform for the efficient implementation of fault-tolerant quantum gates. By calculating the full many-body dynamics of the system, we demonstrate the successful simulation and visualization of $Z$-, $X$- and Hadamard gates, with MEMs being functionalized as quantum memory. Our results open a new platform for the efficient implementation of fault-tolerant quantum computing.

arXiv:2505.08888May 13, 20250 citations

Many-body Majorana-like zero modes without gauge symmetry breaking

V. Vadimov, T. Hyart, J. L. Lado +2 more

Topological superconductors represent one of the key hosts of Majorana-based topological quantum computing.Typical scenarios for one-dimensional (1D) topological superconductivity assume a broken gauge symmetry associated to a superconducting state.However, no interacting 1D many-body system is known to spontaneously break gauge symmetries.Here, we show that zero modes emerge in a many-body system without gauge symmetry breaking and in the absence of superconducting order.In particular, we demonstrate that Majorana zero modes of the symmetry-broken superconducting state are continuously connected to these zero-mode excitations, demonstrating that zero-bias anomalies may emerge in the absence of gauge symmetry breaking.We demonstrate that these many-body zero modes share the robustness features of the Majorana zero modes of symmetry-broken topological superconductors.We further show that the interface between the interacting model and a 1D topological superconductor does not support Majorana modes.We introduce a bosonization formalism to analyze these excitations and show that a ground state analogous to a topological superconducting state can be analytically found in a certain limit.Our results demonstrate that robust Majorana-like zero modes may appear in a many-body system without gauge symmetry breaking, thus introducing a family of protected excitations with no single-particle analogs.Topological superconductors represent one of the key hosts of Majorana-based topological quantum computing.Typical scenarios for one-dimensional (1D) topological superconductivity assume a broken gauge symmetry associated to a superconducting state.However, no interacting 1D many-body system is known to spontaneously break gauge symmetries.Here, we show that zero modes emerge in a many-body system without gauge symmetry breaking and in the absence of superconducting order.In particular, we demonstrate that Majorana zero modes of the symmetry-broken superconducting state are continuously connected to these zero-mode excitations, demonstrating that zero-bias anomalies may emerge in the absence of gauge symmetry breaking.We demonstrate that these many-body zero modes share the robustness features of the Majorana zero modes of symmetry-broken topological superconductors.We further show that the interface between the interacting model and a 1D topological superconductor does not support Majorana modes.We introduce a bosonization formalism to analyze these excitations and show that a ground state analogous to a topological superconducting state can be analytically found in a certain limit.Our results demonstrate that robust Majorana-like zero modes may appear in a many-body system without gauge symmetry breaking, thus introducing a family of protected excitations with no single-particle analogs.

arXiv:2011.06552Physical Review ResearchApr 1, 20213 citations

Emergent Phenomena in Quantum Materials

Kam Moler

Bulletin of the American Physical SocietyNov 1, 20130 citations

Two-dimensional electronic spectroscopy of many-body correlations in quantum materials

Christoph Lienau

Ultrafast Phenomena and NanophotonicsMar 19, 20250 citations

Many-body Majorana-like zero modes without gauge symmetry breaking

V Vadimov (11533948), T Hyart (11533951), JL Lado (11533954) +2 more

Topological superconductors represent one of the key hosts of Majorana-based topological quantum computing. Typical scenarios for one-dimensional (1D) topological superconductivity assume a broken gauge symmetry associated to a superconducting state. However, no interacting 1D many-body system is known to spontaneously break gauge symmetries. Here, we show that zero modes emerge in a many-body system without gauge symmetry breaking and in the absence of superconducting order. In particular, we demonstrate that Majorana zero modes of the symmetry-broken superconducting state are continuously connected to these zero-mode excitations, demonstrating that zero-bias anomalies may emerge in the absence of gauge symmetry breaking. We demonstrate that these many-body zero modes share the robustness features of the Majorana zero modes of symmetry-broken topological superconductors. We further show that the interface between the interacting model and a 1D topological superconductor does not support Majorana modes. We introduce a bosonization formalism to analyze these excitations and show that a ground state analogous to a topological superconducting state can be analytically found in a certain limit. Our results demonstrate that robust Majorana-like zero modes may appear in a many-body system without gauge symmetry breaking, thus introducing a family of protected excitations with no single-particle analogs.Topological superconductors represent one of the key hosts of Majorana-based topological quantum computing. Typical scenarios for one-dimensional (1D) topological superconductivity assume a broken gauge symmetry associated to a superconducting state. However, no interacting 1D many-body system is known to spontaneously break gauge symmetries. Here, we show that zero modes emerge in a many-body system without gauge symmetry breaking and in the absence of superconducting order. In particular, we demonstrate that Majorana zero modes of the symmetry-broken superconducting state are continuously connected to these zero-mode excitations, demonstrating that zero-bias anomalies may emerge in the absence of gauge symmetry breaking. We demonstrate that these many-body zero modes share the robustness features of the Majorana zero modes of symmetry-broken topological superconductors. We further show that the interface between the interacting model and a 1D topological superconductor does not support Majorana modes. We introduce a bosonization formalism to analyze these excitations and show that a ground state analogous to a topological superconducting state can be analytically found in a certain limit. Our results demonstrate that robust Majorana-like zero modes may appear in a many-body system without gauge symmetry breaking, thus introducing a family of protected excitations with no single-particle analogs.

Apr 1, 20214 citations

Z

X

- and Hadamard gates, with MEMs being functionalized as quantum memory. Our results open a new platform for the efficient implementation of fault-tolerant quantum computing.