diff --git a/src/time_evolution/mcsolve.jl b/src/time_evolution/mcsolve.jl
index bd62bb41..a6f67f07 100644
--- a/src/time_evolution/mcsolve.jl
+++ b/src/time_evolution/mcsolve.jl
@@ -190,7 +190,7 @@ function mcsolveProblem(
     c_ops isa Nothing &&
         throw(ArgumentError("The list of collapse operators must be provided. Use sesolveProblem instead."))
 
-    t_l = convert(Vector{Float64}, tlist) # Convert it into Float64 to avoid type instabilities for OrdinaryDiffEq.jl
+    t_l = _convert_tlist(eltype(H), tlist) # Convert it to support GPUs and avoid type instabilities for OrdinaryDiffEq.jl
 
     H_eff = H - 1im * mapreduce(op -> op' * op, +, c_ops) / 2
 
diff --git a/src/time_evolution/mesolve.jl b/src/time_evolution/mesolve.jl
index f83a1bc3..363e0790 100644
--- a/src/time_evolution/mesolve.jl
+++ b/src/time_evolution/mesolve.jl
@@ -122,7 +122,7 @@ function mesolveProblem(
     is_time_dependent = !(H_t isa Nothing)
     progress_bar_val = makeVal(progress_bar)
 
-    t_l = convert(Vector{Float64}, tlist) # Convert it into Float64 to avoid type instabilities for OrdinaryDiffEq.jl
+    t_l = _convert_tlist(eltype(H), tlist) # Convert it to support GPUs and avoid type instabilities for OrdinaryDiffEq.jl
 
     ρ0 = mat2vec(ket2dm(ψ0).data)
 
diff --git a/src/time_evolution/sesolve.jl b/src/time_evolution/sesolve.jl
index 6ef530d6..a550e48a 100644
--- a/src/time_evolution/sesolve.jl
+++ b/src/time_evolution/sesolve.jl
@@ -103,7 +103,7 @@ function sesolveProblem(
     is_time_dependent = !(H_t isa Nothing)
     progress_bar_val = makeVal(progress_bar)
 
-    t_l = convert(Vector{Float64}, tlist) # Convert it into Float64 to avoid type instabilities for OrdinaryDiffEq.jl
+    t_l = _convert_tlist(eltype(H), tlist) # Convert it to support GPUs and avoid type instabilities for OrdinaryDiffEq.jl
 
     ϕ0 = get_data(ψ0)
 
diff --git a/src/utilities.jl b/src/utilities.jl
index df93872d..48762445 100644
--- a/src/utilities.jl
+++ b/src/utilities.jl
@@ -65,3 +65,13 @@ _non_static_array_warning(argname, arg::AbstractVector{T}) where {T} =
     @warn "The argument $argname should be a Tuple or a StaticVector for better performance. Try to use `$argname = $(Tuple(arg))` or `$argname = SVector(" *
           join(arg, ", ") *
           ")` instead of `$argname = $arg`." maxlog = 1
+
+# convert tlist in time evolution
+_convert_tlist(::Int32, tlist::AbstractVector) = _convert_tlist(Val(32), tlist)
+_convert_tlist(::Float32, tlist::AbstractVector) = _convert_tlist(Val(32), tlist)
+_convert_tlist(::ComplexF32, tlist::AbstractVector) = _convert_tlist(Val(32), tlist)
+_convert_tlist(::Int64, tlist::AbstractVector) = _convert_tlist(Val(64), tlist)
+_convert_tlist(::Float64, tlist::AbstractVector) = _convert_tlist(Val(64), tlist)
+_convert_tlist(::ComplexF64, tlist::AbstractVector) = _convert_tlist(Val(64), tlist)
+_convert_tlist(::Val{32}, tlist::AbstractVector) = convert(Vector{Float32}, tlist)
+_convert_tlist(::Val{64}, tlist::AbstractVector) = convert(Vector{Float64}, tlist)
\ No newline at end of file