Stochastic inflation emerges as GKLS open-system dynamics from tracing entangled modes entering a coarse-grained de Sitter patch, reproducing the classical phase-space Fokker-Planck equation.
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Semiclassicality and Decoherence of Cosmological Perturbations
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abstract
Transition to the semiclassical behaviour and the decoherence process for inhomogeneous perturbations generated from the vacuum state during an inflationary stage in the early Universe are considered both in the Heisenberg and the Schr\"odinger representations to show explicitly that both approaches lead to the same prediction: the equivalence of these quantum perturbations to classical perturbations having stochastic Gaussian amplitudes and belonging to the quasi-isotropic mode. This equivalence and the decoherence are achieved once the exponentially small (in terms of the squeezing parameter $r_k$) decaying mode is neglected. In the quasi-classical limit $|r_k|\to \infty$, the perturbation mode functions can be made real by a time-independent phase rotation, this is shown to be equivalent to a fixed relation between squeezing angle and phase for all modes in the squeezed-state formalism. Though the present state of the gravitational wave background is not a squeezed quantum state in the rigid sense and the squeezing parameters loose their direct meaning due to interaction with the environment and other processes, the standard predictions for the rms values of the perturbations generated during inflation are not affected by these mechanisms (at least, for scales of interest in cosmological applications). This stochastic background still occupies a small part of phase space.
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Constructs a manifestly diagonal-BRST-invariant Schwinger-Keldysh path integral for open non-Abelian gauge theories with arbitrary physical initial states, yielding Ward-Takahashi-Slavnov-Taylor identities and a Keldysh BRST symmetry for the Open EFT.
Tachyonic instabilities from post-inflation curvature reorganization via quadratic Gauss-Bonnet coupling produce the observed dark matter relic density across wide mass and scale ranges, backed by lattice simulations and a fitting function.
An open quantum system treatment of curvature perturbations during Ultra-Slow-Roll inflation shows that environmental decoherence erases the interference dip, modifies the growth slope, and induces oscillatory features in the scalar power spectrum and scalar-induced gravitational waves.
Residual anomalous coherence in scalar perturbations imprints on scalar-induced tensor modes, producing a correlated gravitational-wave background with nontrivial covariance and phase structure instead of a simple spectral shift.
Scalar-induced tensor modes inherit anomalous coherence from a decohered two-mode Gaussian scalar state, generating nonzero tensor discord and connected power covariance as probes of primordial quantum memory.
Gravitons in different quantum states smear the light cone via operator treatment of Synge's world function, regularizing UV singularities in phi^3 and phi^4 one-loop diagrams with a 10^{-10} correction from primordial gravitons.
Derives gauge-invariant influence functionals for photons and Stueckelberg fields in open U(1) gauge EFTs via BRST on the in-in contour after integrating out matter.
Stochastic effects in multifield inflation make the number of fields relevant for e-fold statistics and power spectrum, with a general formula for higher moments and an upper bound on fields for successful inflation.
Derives stochastic equations from Schwinger-Keldysh formalism that include quantum diffusion and classical metric perturbations for non-perturbative ultra-slow-roll inflation, validated on Starobinsky and critical Higgs models.
Requiring decohered cosmological perturbations to admit a classical P-function forces their momentum variance above the vacuum value, and demanding a linear gravitational potential at reheating bounds that variance by ~10^14, excluding thermal decoherence states and restricting amplitude-basis model
A dissertation that introduces slow-roll inflation and perturbations, critiques squeezing and decoherence formalisms, and investigates the pilot-wave approach to the quantum-to-classical transition with numerical illustrations.
citing papers explorer
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Quantum Stochastic Inflation
Stochastic inflation emerges as GKLS open-system dynamics from tracing entangled modes entering a coarse-grained de Sitter patch, reproducing the classical phase-space Fokker-Planck equation.
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Schwinger-Keldysh Path Integral for Gauge theories
Constructs a manifestly diagonal-BRST-invariant Schwinger-Keldysh path integral for open non-Abelian gauge theories with arbitrary physical initial states, yielding Ward-Takahashi-Slavnov-Taylor identities and a Keldysh BRST symmetry for the Open EFT.
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Tachyonic gravitational dark matter production after inflation
Tachyonic instabilities from post-inflation curvature reorganization via quadratic Gauss-Bonnet coupling produce the observed dark matter relic density across wide mass and scale ranges, backed by lattice simulations and a fitting function.
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When the Environment Speaks: Quantum Signatures in Non-Attractor Inflation
An open quantum system treatment of curvature perturbations during Ultra-Slow-Roll inflation shows that environmental decoherence erases the interference dip, modifies the growth slope, and induces oscillatory features in the scalar power spectrum and scalar-induced gravitational waves.
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Entanglement, Discord, and Residual Coherence in Scalar-Induced Gravitational Waves
Residual anomalous coherence in scalar perturbations imprints on scalar-induced tensor modes, producing a correlated gravitational-wave background with nontrivial covariance and phase structure instead of a simple spectral shift.
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Quantum Memory in Scalar-Induced Gravitational Waves
Scalar-induced tensor modes inherit anomalous coherence from a decohered two-mode Gaussian scalar state, generating nonzero tensor discord and connected power covariance as probes of primordial quantum memory.
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Squeezed Gravitons and One-Loop Self-Energy under Light-Cone Smearing
Gravitons in different quantum states smear the light cone via operator treatment of Synge's world function, regularizing UV singularities in phi^3 and phi^4 one-loop diagrams with a 10^{-10} correction from primordial gravitons.
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Gauging Open EFTs from the top down
Derives gauge-invariant influence functionals for photons and Stueckelberg fields in open U(1) gauge EFTs via BRST on the in-in contour after integrating out matter.
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Multifield stochastic inflation: Relevance of number of fields in statistical moments
Stochastic effects in multifield inflation make the number of fields relevant for e-fold statistics and power spectrum, with a general formula for higher moments and an upper bound on fields for successful inflation.
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Nonperturbative stochastic inflation in perturbative dynamical background
Derives stochastic equations from Schwinger-Keldysh formalism that include quantum diffusion and classical metric perturbations for non-perturbative ultra-slow-roll inflation, validated on Starobinsky and critical Higgs models.
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A Landscape of Cosmological Decoherence
Requiring decohered cosmological perturbations to admit a classical P-function forces their momentum variance above the vacuum value, and demanding a linear gravitational potential at reheating bounds that variance by ~10^14, excluding thermal decoherence states and restricting amplitude-basis model
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On the Quantum-to-Classical Transition of Primordial Perturbations
A dissertation that introduces slow-roll inflation and perturbations, critiques squeezing and decoherence formalisms, and investigates the pilot-wave approach to the quantum-to-classical transition with numerical illustrations.