Quantum tunneling Mpemba effect

• URL: http://arxiv.org/abs/2607.03845v1
• Date: Sat, 04 Jul 2026 12:23:59 GMT
• Title: Quantum tunneling Mpemba effect
• Abstract summary: Quantum tunneling Mpemba effect is investigated within a continuous one-dimensional symmetric double-well potential open to external environmental sinks.<n>We mathematically prove that the non-monotonic behavior of the first non-trivial even-parity spectral coefficient, $a_2(T_i)$, is a universal topological property born from quantum statistical mechanics.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: The quantum tunneling Mpemba effect is investigated within a continuous one-dimensional symmetric double-well potential open to external environmental sinks at the boundaries ($x=\pm L$). Using a non-Hermitian spectral decomposition of the effective Hamiltonian, we characterize the open-system relaxation dynamics without relying on abstract state-space quenches. We mathematically prove that the non-monotonic behavior of the first non-trivial even-parity spectral coefficient, $a_{2}(T_{i})$, with respect to the initial preparation temperature $T_{i}$ is a universal topological property born from quantum statistical mechanics. Crucially, we demonstrate that this intermediate thermal peak is governed by the Sturm-Liouville oscillation theorem and remains completely invariant with respect to the global system size $L$, contrasting sharply with the boundary-driven classical Mpemba effect. This universal peak arises from the geometric and nodal alignment between highly localized unperturbed states and extended non-Hermitian decay channels. Furthermore, we clarify that while this mechanism is robust, the actual observation of anomalous crossings in the total survival probability trace $S(t,T_{i})$ and the trace distance $\mathcal{D}(t,T_i)$ demand a strict separation of timescales, requiring the over-barrier escape rate to vastly exceed the decay rate of the deep-well tunneling doublet ($Γ_{2}\gg Γ_{0}$ and $Γ_2\gg Γ_1$). Our continuous formulation successfully bridges real-space classical boundary-driven dissipation with open quantum dynamics, providing novel insights for engineering non-equilibrium states via tailored boundary loss.

Related papers

• Universal Dynamic Scaling of 2D Quantum Ising Transition on the Fuzzy Sphere [1.1082320175055462]
  We revisit the problem of textitreal-time quantum dynamics of the paradigmatic two dimensional transverse-field Ising model.<n>We study the finite-time scaling behavior of the squared order parameter $langle m_z2 rangle$, the excitation energy density $Q$, and the two-point correlation function of $m_z$.
  arXiv  Detail & Related papers  (2026-07-20T14:59:20Z)
• Universal Speed Limit in a Far-from-Equilibrium Bose Gas: Symmetry and Dynamical Decoherence [3.4646371814317134]
  We show first parameter-free prediction of a universal amplitude $C$ in a quantum system.<n>A new paradigm is thus established for predicting transport coefficients in strongly correlated non-equilibrium systems.
  arXiv  Detail & Related papers  (2026-05-12T10:08:49Z)
• Anomalous Mixed-State Floquet Topology in One-Dimensional Open Quantum Systems [41.99844472131922]
  We investigate the non-equilibrium topology of a periodically driven, dissipative Su-Schrieffer-Heeger chain.<n>We show that the steady state can be characterised by a Hermitian purity spectrum.<n>We identify a pair of topological invariants $(0_mathrmEGP, _mathrmEGP)$, revealing a structure consistent with a $mathbbZtimesmathbbZ$ classification known from isolated Floquet SSH systems.
  arXiv  Detail & Related papers  (2026-04-28T05:54:40Z)
• Quantum optomechanics of lossy bodies: general approach and structured squeezed vacuum effects [51.56484100374058]
  We investigate the overall optomechanical force experienced by a macroscopic lossy object in free space under external quantum illumination.<n>By driving the scattering field with an anisotropic, multimode squeezed vacuum state, the spatial profile of the electromagnetic quantum fluctuations can be engineered to exhibit broken rotational symmetry.<n>We establish a general formalism for macroscopic quantum optomechanics that operates beyond the constraints of thermal equilibrium.
  arXiv  Detail & Related papers  (2026-04-07T13:25:43Z)
• Hysteretic squashed entanglement in many-body quantum systems [42.085941481155295]
  Entanglement in many-body quantum systems is distributed across spatial regions.<n>We propose hysteretic entanglement $T_sq$, a conditional entanglement that measures the genuine quantum correlations between two subregions.<n>We show that $T_sq$ can detect genuine quantum correlations across both adjacent and long-range subsystems.
  arXiv  Detail & Related papers  (2026-03-10T17:00:49Z)
• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• Prethermal gauge structure and surface growth in $\mathbb{Z}_2$ lattice gauge theories [0.0026426535710462316]
  We numerically study the mean-field of a $(2+1)$D spin system with thousands of interactions.<n>Our model provides a testbed for quantum simulators and is directly implementable in large-scale arrays of Rydberg atoms.
  arXiv  Detail & Related papers  (2025-10-14T17:59:58Z)
• Boundary Renormalization Group Flow of Entanglement Entropy at a (2+1)-Dimensional Quantum Critical Point [10.373461336540279]
  We investigate the second order R'enyi entanglement entropy at the quantum critical point of spin-1/2 antiferromagnetic Heisenberg model.<n>The universal constant $gamma$ in the area-law scaling $S_2(ell) = alphaell - gamma$ is found to be sensitive to the entangling surface configurations.
  arXiv  Detail & Related papers  (2025-09-02T07:39:43Z)
• Phase Transitions in Open Dicke Model: a degenerate perturbation theory approach [0.0]
  We study the steady-state behavior of the open Dicke model, which describes the collective interaction of $N$ spin-$1/2$ particles with a lossy, quantized cavity mode.<n>While the standard model conserves total spin, Kirton and Keeling citePhysRevLett.118.123602 demonstrated that even infinitesimal homogeneous local dephasing destroys this phase transition.<n>We analyze this interplay using perturbation theory across subspaces of fixed total spin, $S$.
  arXiv  Detail & Related papers  (2025-05-19T04:33:30Z)
• Theory of the correlated quantum Zeno effect in a monitored qubit dimer [41.94295877935867]
  We show how the competition between two measurement processes give rise to two distinct Quantum Zeno (QZ) regimes.<n>We develop a theory based on a Gutzwiller ansatz for the wavefunction that is able to capture the structure of the Hilbert phase diagram.<n>We show how the two QZ regimes are intimately connected to the topology of the flow of the underlying non-Hermitian Hamiltonian governing the no-click evolution.
  arXiv  Detail & Related papers  (2025-03-28T19:44:48Z)
• Observing super-quantum correlations across the exceptional point in a single, two-level trapped ion [48.7576911714538]
  In two-level quantum systems - qubits - unitary dynamics theoretically limit these quantum correlations to $2qrt2$ or 1.5 respectively. Here, using a dissipative, trapped $40$Ca$+$ ion governed by a two-level, non-Hermitian Hamiltonian, we observe correlation values up to 1.703(4) for the Leggett-Garg parameter $K_3$. These excesses occur across the exceptional point of the parity-time symmetric Hamiltonian responsible for the qubit's non-unitary, coherent dynamics.
  arXiv  Detail & Related papers  (2023-04-24T19:44:41Z)
• Detecting bulk and edge exceptional points in non-Hermitian systems through generalized Petermann factors [7.371841894852217]
  Non-orthogonality in non-Hermitian quantum systems gives rise to tremendous exotic quantum phenomena. We introduce an interesting quantity (denoted as $eta$) as a new variant of the Petermann factor to measure non-unitarity.
  arXiv  Detail & Related papers  (2022-08-31T16:24:03Z)

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.