Topological transitions in quantum jump dynamics: Hidden exceptional points
- URL: http://arxiv.org/abs/2408.05270v1
- Date: Fri, 9 Aug 2024 18:00:02 GMT
- Title: Topological transitions in quantum jump dynamics: Hidden exceptional points
- Authors: Andrei I. Pavlov, Yuval Gefen, Alexander Shnirman,
- Abstract summary: Phenomena associated with exceptional points (EPs) have been extensively studied in relation to superconducting circuits.
We consider a monitored three level system and find multiple EPs in the Lindbladian eigenvalues considered as functions of a counting field.
We identify dynamical observables affected by these transitions and demonstrate how the underlying topology can be recovered from experimentally measured quantum jump distributions.
- Score: 45.58759752275849
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Complex spectra of dissipative quantum systems may exhibit degeneracies known as exceptional points (EPs). At these points the systems' dynamics may undergo a drastic change. Phenomena associated with EPs and their applications have been extensively studied in relation to various experimental platforms, including, i.a., the superconducting circuits. While most of the studies focus on EPs appearing due to the variation of the system's parameters, we focus on EPs emerging in the full counting statistics of the system. We consider a monitored three level system and find multiple EPs in the Lindbladian eigenvalues considered as functions of a counting field. We demonstrate that these EPs signify transitions between different topological classes which are rigorously characterized in terms of the braid theory. Furthermore, we identify dynamical observables affected by these transitions and demonstrate how the underlying topology can be recovered from experimentally measured quantum jump distributions. Additionally, we establish a duality between certain EPs in the Lindbladian with regard to the counting field. This allows for an experimental observation of the EP transitions, normally hidden by the Liouvillian dynamics of the system, at arbitrary times without applying postselection schemes.
Related papers
- Dynamic manifestation of exception points in a non-Hermitian continuous model with an imaginary periodic potential [0.0]
This study focuses on exceptional points (EPs) in continuous systems rather than discrete non-Hermitian systems.
The non-Hermiticity of the system stems from the local imaginary potential, which can be effectively achieved through particle loss.
Our investigation sheds light on EP behaviors, potentially catalyzing further exploration of EP phenomena across a variety of quantum simulation setups.
arXiv Detail & Related papers (2024-11-09T09:34:20Z) - Hidden exceptional point, localization-delocalization phase transition in Hermitian bosonic Kitaev model [0.0]
A Hermitian bosonic Kitaev model supports a non-Hermitian core matrix with exceptional points (EPs)
We show the connection between the hidden EP and the localization-delocalization transition in the equivalent systems.
Numerical simulations of the time evolution reveal a clear transition point at the EP.
arXiv Detail & Related papers (2024-10-21T12:52:18Z) - Parity-time-symmetric two-qubit system: entanglement and sensing [0.0]
We study exceptional-point effects and quantum sensing in a parity-time (PT)-symmetric two-qubit system with the Ising-type interaction.
We show that entanglement can be generated more quickly than the corresponding Hermitian system.
arXiv Detail & Related papers (2023-05-30T13:51:49Z) - Multipartite Entanglement in the Measurement-Induced Phase Transition of
the Quantum Ising Chain [77.34726150561087]
External monitoring of quantum many-body systems can give rise to a measurement-induced phase transition.
We show that this transition extends beyond bipartite correlations to multipartite entanglement.
arXiv Detail & Related papers (2023-02-13T15:54:11Z) - Geometric phases along quantum trajectories [58.720142291102135]
We study the distribution function of geometric phases in monitored quantum systems.
For the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle.
For the same parameters, the density matrix does not show any interference.
arXiv Detail & Related papers (2023-01-10T22:05:18Z) - Full counting statistics as probe of measurement-induced transitions in
the quantum Ising chain [62.997667081978825]
We show that local projective measurements induce a modification of the out-of-equilibrium probability distribution function of the local magnetization.
In particular we describe how the probability distribution of the former shows different behaviour in the area-law and volume-law regimes.
arXiv Detail & Related papers (2022-12-19T12:34:37Z) - Mesoscopic transport signatures of disorder-induced non-Hermitian phases [0.0]
We investigate the impact on basic quantum transport properties of disorder-induced exceptional points (EPs) that emerge in a disorder-averaged Green's function description of two-dimensional (2D) Dirac semimetals.
We find that EPs may promote the nearly vanishing conductance of a finite sample at the Dirac point to a sizable value that increases with disorder strength.
arXiv Detail & Related papers (2022-01-14T19:00:01Z) - Subdiffusion via Disordered Quantum Walks [52.77024349608834]
We experimentally prove the feasibility of disordered quantum walks to realize a quantum simulator that is able to model general subdiffusive phenomena.
Our experiment simulates such phenomena by means of a finely controlled insertion of various levels of disorder during the evolution of the walker.
This allows us to explore the full range of subdiffusive behaviors, ranging from anomalous Anderson localization to normal diffusion.
arXiv Detail & Related papers (2020-07-24T13:56:09Z) - Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states.
Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
arXiv Detail & Related papers (2020-07-23T19:05:56Z) - Observation of exceptional point in a PT broken non-Hermitian system
simulated using a quantum circuit [3.3229068574143534]
We propose an extendable method to simulate non-Hermitian systems on the quantum circuits.
Our model is capable of simulating large scale systems with higher-order EPs.
arXiv Detail & Related papers (2020-05-28T07:59:58Z)
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.